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