Writing Equations of lines
Write the given equation in standard form. y - 11 = 3(x-2)
3x - y = -5
Write the standard form of a line that passes through (3, 6) and has a slope of 4/3.
4x - 3y = -6
slope of a horizontal line
Zero
What is the slope of the line that passes through the points (4, -3) and (8, -3)?
m = 0
What is the slope of the line that passes through the points (-4, -1) and (-2, 5)?
m = 3
What is the slope of the line that passes through the points (-4, -1) and (-4, -5)?
m = undefined
equation of a vertical line
x = #
What is the equation of the line with undefined slope that passes through (-3, 5)?
x = -3
Write the equation of the line that has undefined slope and passes through (-5, 4).
x = -5
What is the equation of the vertical line that passes through the point (5, -7)?
x = 5
Write the point-slope form of an equation for the line that passes through (1, -6) and has a slope of -1.
y + 6 = -1(x - 1)
Write the point-slope form of an equation for the line that passes through (-8, 5) and has a slope of 1.
y - 5 = x+8
equation of a horizontal line
y = #
Write the equation of a line that has an x-intercept of 4 and a y-intercept of -2.
y = (1/2)x - 2
Write the equation of the line that has zero slope and passes through (8, -9).
y = -9
Write the equation of the line that passes through (0, 4) and (4, 0) in slope intercept form.
y = -x + 4
What is the equation of the line with slope of 2 and y-intercept of -5?
y = 2x-5
Write the equation of the horizontal line that passes through (2, 3).
y = 3
Write the slope-intercept equation of a line that passes through (-2, -3) and (4, 5).
y = 4/3x - 1/3
What is the equation of the line that has zero slope and passes through the point (5, 7)?
y = 7
Write the equation of the line that passes through (-14, -2) and (7, 7) in point slope form.
y+2=(3/7)(x+14)
slope-intercept form
y=mx+b
standard form
Ax + By = C
What is an x-intercept?
The point where the graph crosses the x-axis. The y-coordinate is zero.
What is a y-intercept?
The point where the graph crosses the y- axis. The x-coordinate is zero.
slope of a vertical line
Undefined