Finding equation of a line from the graph, Algebra Unit 4a Test Review - Linear Functions
y = -x - 5
Write the equation of the line in slope-intercept form that goes through (0, 5) and (4, 1).
y = (-3/2)x -(7/2)
Write the equation of the line in slope-intercept form that goes through (1, -5) and has a slope of (-3/2).
y = 1/2x + 1
Write the equation of the line in slope-intercept form that goes through (4, 3) and has a slope of 1/2.
y = -4
Write the equation of the line in slope-intercept form that goes through the points (0, -4) and (5, -4).
y = x - 6
Write the equation of the line in slope-intercept form that goes through the points (2, -4) and (4, -2).
y = 4x + 5
Write the equation of the line in slope-intercept form that passes through (1, 9) with a slope of 4.
y = 5x - 15
Write the equation of the line in slope-intercept form that passes through (3, 0) with a slope of 5.
y = x - 3
Write the equation of the line in slope-intercept form that passes through (4, 1) with a slope of 1.
y = -2x + 10
Write the equation of the line in slope-intercept form that passes through (4, 2) with a slope of -2.
y = -x + 1
Write the equation of the line in slope-intercept form that passes through the points (-2, 3) and (3, -2).
y = x + 6
Write the equation of the line in slope-intercept form that passes through the points (-2, 4) and (0, 6).
y = -2x + 3
Write the equation of the line in slope-intercept form that passes through the points (0, 3) and (2, -1).
y = 3x - 4
Write the equation of the line in slope-intercept form that passes through the points (1, -1) and (3, 5).
y = 2x - 1
Write the equation of the line in slope-intercept form that passes through the points (1, 1) and (-1, -3).
y = -3x - 11
Write the equation of the line that goes through (-5, 4) and has a slope of -3.
y = 35x + 75
Write the equation: A computer technician charges $75 for a consultation plus $35 per hour.
y = -7x + 6,791
Write the equation: The population of Algebra City is 6,791 and is decreasing by 7 people per year.
y + 2 = 3(x + 1)
in point-slope form: (-1, -2), m = 3
y - 6 = 8(x + 4)
in point-slope form: (-4, 6), m = 8
y + 1 = (-5/4)(x + 5)
in point-slope form: (-5, -1), m = (-5/4)
y + 2 = -(x - 1)
in point-slope form: (1, -2), m = -1
y + 3 = -4(x - 1)
in point-slope form: (1, -3), m = -4
y + 3 = 0
in point-slope form: (2, -3), m = 0
y - 1 = 0
in point-slope form: (3, 1), m = 0
y - 3 = (4/3)(x - 3)
in point-slope form: (3, 3), m = (4/3)
y + 6 = x - 4
in point-slope form: (4, -6), m = 1
y - 1 = (-5/4)(x - 5)
in point-slope form: (5, 1), m = (-5/4)
y = -x + 2
in slope-intercept form: slope: -1, y-intercept: 2
y = -2x + 7
in slope-intercept form: slope: -2, y-intercept: 7
y = -4x
in slope-intercept form: slope: -4, y-intercept: 0
y = -6x - 2
in slope-intercept form: slope: -6, y-intercept: -2
y = -8
in slope-intercept form: slope: 0, y-intercept: -8
y = 8
in slope-intercept form: slope: 0, y-intercept: 8
y = x - 2
in slope-intercept form: slope: 1, y-intercept: -2
y = x
in slope-intercept form: slope: 1, y-intercept: 0
y = x + 2
in slope-intercept form: slope: 1, y-intercept: 2
y = 3x - 12
in slope-intercept form: slope: 3, y-intercept: -12
y = 3x + 12
in slope-intercept form: slope: 3, y-intercept: 12
y = 4x
in slope-intercept form: slope: 4, y-intercept: 0
y = 5x - 3
in slope-intercept form: slope: 5, y-intercept: -3
y = 7x + 1
in slope-intercept form: slope: 7, y-intercept: 1
x - y = -1
y + 1 = x + 2 to standard form
y = -x - 6
y + 2 = -(x + 4) to slope-intercept form
5x + y = 10
y + 5 = -5(x - 3) to standard form
3x + y = -3
y + 9 = -3(x - 2) to standard form
y = 6x - 3
y - 3 = 6(x - 1) to slope-intercept form
x + y = 5
y - 4 = -(x - 1) to standard form
y = 3x - 2
y - 4 = 3(x - 2) to slope-intercept form
y = -2x + 2
y - 6 = -2(x + 2) to slope-intercept form
4x - y = -23
y - 7 = 4(x + 4) to standard form
y = 3x + 23
y - 8 = 3(x + 5) to slope-intercept form
Negative slope
Decreases from left to right
slope: 2.5 point: (-3, -4)
Determine the slope and point in the equation y + 4 = 2.5(x + 3)
slope: 4/3 point: (3, 6)
Determine the slope and point in the equation y - 6 = 4/3(x - 3)
y = -x
Equation of the line with a slope: -1 and y-intercept: 0
y = 4
Equation of the line with a slope: 0 and y-intercept: 4
y = 3x - 8
Equation of the line with a slope: 3 and y-intercept: -8
y=-3x
Find the equation of the line.
y=-4x+2
Find the equation of the line.
y=3x-2
Find the equation of the line.
y=4x-2
Find the equation of the line.
-1
Find the slope of the line: y=-x+3
0
If the equation of the line is y=3/2x, what's my y-intercept?
Positive slope
Increases from left to right
y-y1=m(x-x1)
Point-Slope Form
Slope
Rise over run
(y2-y1)/ (x2-x1)
Slope Formula
y=mx+ b
Slope-Intercept Form
Ax + By = C
Standard Form
y=2x-4
What is the equation of the line?
2
What is the slope of the line?
3
What is the y intercept?
y + 4 = 0
Write an equation of the line in point-slope form that goes through the point (-3, -4) and has a slope of 0.
y + 6 = -(x - 1)
Write an equation of the line in point-slope form that goes through the point (1, -6) and has a slope of -1.
y - 2 = -3(x - 2)
Write an equation of the line in point-slope form that goes through the point (2, 2) and has a slope of -3.
y = 3x + 1
Write the equation in slope-intercept form for the line that passes through (-1, -2) and is PARALLEL to 3x - y = 5.
y = -3x - 7
Write the equation in slope-intercept form for the line that passes through (-1, -4) and is PARALLEL to 9x + 3y = 8.
y = 4x - 3
Write the equation in slope-intercept form for the line that passes through (-1, -7) and is PERPENDICULAR to 3x + 12y = -6.
y = 3x + 4
Write the equation in slope-intercept form for the line that passes through (-2, -2) and is PERPENDICULAR to y = (-1/3)x + 9.
y = -4x - 3
Write the equation in slope-intercept form for the line that passes through (-2, 5) and is PARALLEL to y = -4x + 2.
y = (2/3)x + 6
Write the equation in slope-intercept form for the line that passes through (-3, 4) and is PARALLEL to 3y = 2x - 3.
y = (1/4)x - 2
Write the equation in slope-intercept form for the line that passes through (-4, -3) and is PERPENDICULAR to 4x + y = 7.
y = (7/4)x + 8
Write the equation in slope-intercept form for the line that passes through (-4, 1) and is PERPENDICULAR to 3x + 7y = 6.
y = -x - 1
Write the equation in slope-intercept form for the line that passes through (-6, 5) and is PERPENDICULAR to y = x - 5.
y = (5/4)x + 12
Write the equation in slope-intercept form for the line that passes through (-8, 2) and is PARALLEL to 5x - 4y = 1.
y = 5x + 1
Write the equation in slope-intercept form for the line that passes through (0, 1) and is PERPENDICULAR to x + 5y = 15.
y = (2/3)x + (1/3)
Write the equation in slope-intercept form for the line that passes through (1, 1) and is PERPENDICULAR to 3x + 2y = -7.
y = (4/5)x - 3
Write the equation in slope-intercept form for the line that passes through (10, 5) and is PERPENDICULAR to y = (-5/4)x +8.
y = (4/3)x - 13
Write the equation in slope-intercept form for the line that passes through (12, 3) and is PARALLEL to y = (4/3)x + 5.
y = -6x + 16
Write the equation in slope-intercept form for the line that passes through (2, 4) and is PERPENDICULAR to y = (1/6)x + 2.
y = x - 1
Write the equation in slope-intercept form for the line that passes through (3,2) and is PARALLEL to y = x + 5.
y = (-5/2)x + 5
Write the equation in slope-intercept form for the line that passes through (4, -5) and is PERPENDICULAR to y = (2/5)x - 10.
y = (-3/4)x - 3
Write the equation in slope-intercept form for the line that passes through (4, -6) and is PARALLEL to y = (-3/4)x + 1.
y = (2/5)x + 2
Write the equation in slope-intercept form for the line that passes through (5, 4) and is PARALLEL to y = (2/5)x - 2.
y = -x + 12
Write the equation in slope-intercept form: y - 10 = -(x - 2)
y = 3x + 5
Write the equation in slope-intercept form: y - 11 = 3(x - 2)
7x + y = 8
Write the equation in standard form: y + 1 = -7(x + 1)
4x - y = -6
Write the equation in standard form: y + 2 = 4(x + 2)
