Slope-Intercept, Standard, and Point-Slope Form
What is the x-intercept for the equation 2x - 5y = 10
5
Type of Slope
Negative
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ?
y - 2 = 1/3(x - 3)
Alejandra correctly wrote the equation y - 3 = 1/5 (x - 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
y - 3 = 2(x - 10)
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5?
y - 4 = 2/5(x + 2)
2x + 4y = -12 (Write in slope-intercept form)
y = (-1/2)x - 3
4x + 12y = -6 (Write in slope-intercept form)
y = (-1/3)x - (1/2)
x + 5y = 12 (Write in slope-intercept form)
y = (-1/5)x + 12/5
3x + 2y = 6 (Write in slope-intercept form)
y = (-3/2)x + 3
(Write in slope-intercept form)
y = (-4/7)x + 6/74x + 7y = 6
5x + 3y = -8 (Write in slope-intercept form)
y = (-5/3)x - 8/3
8x + 3y = -15 (Write in slope-intercept form)
y = (-8/3)x - 5
5x - 4y = 7 (Write in slope-intercept form)
y = (5/4)x - 7/4
To find the x-intercept, plug 0 in for the __________________.
y-coordinate
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
f(x) = -3x + 14
In the slope-intercept form, which letter represents slope?
m
What is the equation of the graphed line in point-slope form?
y + 3 = 2 (x + 3)
x - 6y = -12 (Write in slope-intercept form)
y = (1/6)x + 2
6x - 9y = 9 (Write in slope-intercept form)
y = (2/3)x - 1
7x - y = 13 (Write in slope-intercept form)
y = 7x - 13
What is the slop-intercept form?
y = mx + b
What is the y-intercept for the equation -3x + y = 3
3
What is the y-intercept for the equation -2x + y = 4
4
What is the slope of the line?
5/2
y = 2x - 2 (Write in slope-intercept form)
6x - 3y = 6
What is the y-intercept of the graph?
7
Type of slope
Positive
Rise over Run
Slope
Anya graphed the line (y - 2) = 3(x - 1) on the coordinate grid. What is the slope of her line?
The slope of her line is 3
What is the slope of a vertical line?
Undefined
What is the x-intercept for the equation 3x + 2y = -6
-2
What is the y-intercept of the graph?
-2
What is the y-intercept for the equation 3x + 2y = -6
-3
Vertical Change
Rise
Horizontal Change
Run
What is the slope of the graph?
What is the slope of the graph?5/3
The equation of a linear function in point-slope form is y - y1 = m(x - x1). Harold correctly wrote the equation y = 3(x - 7) using a point and the slope. Which point did Harold use?
When Harold wrote his equation, the point he used was (7, 0).
To find the y-intercept, plug 0 in for the _________________.
x-coordinate
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
y + 3 = -6(x + 9)
Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
y - 1 = 1/2(x -5)
9x + 4y = -4 (Write in slope-intercept form)
y = (-9/4)x - 1
3x - 6y = 9 (Write in slope-intercept form)
y = (1/2)x - 3/2
x - 3y = -9 (Write in slope-intercept form)
y = (1/3)x + 3
ax + y = 5 (Write in slope-intercept form)
y = -2x +5
4x + y = -2 (Write in slope-intercept form)
y = -4x - 2
8x + y = -5 (Write in slope-intercept form)
y = -8x - 5
y = -x - 43x + 3y = -12 (Write in slope-intercept form)
y = -x - 4
What is the x-intercept for the equation -3x + y = 3
-1
What is the slope of the line?
-1/2
What is the Y-intercept for the equation 2x - 5y = 10
-2
What is the x-intercept for the equation -2x + y = 4
-2
What is the slope of a horizontal line?
0
What is the y-intercept of the graph?
0