Forms of Linear Equations

Point Slope Form

100

Write an equation that passes through (2, 0) and has a slope of - 5.

y - 2 = -5(x)

200

Write an equation that passes through (0, -4) and (5, -3)

y + 4 = ¹⁄₅(x)

300

Find an equation for a line that passes through (-5, 3) and (2, 1).

y - 3 = ^-2⁄₇(x + 5)

400

Write an equation that passes through (2, -1) and is parallel to y = 4x.

y + 1 = 4(x - 2)

500

Find an equation for a line that passes through (2, -9) and (-3, 5).

y + 9 = ^-14⁄₅(x - 2)

Slope-Intercept

100

Find the slope of y = -3x + 2

m = -3

200

Find the y intercept of the equation, y = ^-5⁄₃x - 4.

b = -4

300

Write the equation 2y = 3x - 5 in standard form.

-3x + 2y = -5

400

Write the equation 5x - 4y = 20 in slope-intercept form.

y = ⁵⁄₄x - 5

500

Write the equation y = -3x in standard form.

3x + y = 0

Standard

100

Write this equation in y intercept from, -x + y = 3

y = x + 3

200

Write this equation in intercept form, 3x + y = 9

y = -3x + 9

300

Write the equations -x + y = 4 in intercept form.

y = x + 4

400

Write an equation 3x + 2y = 14 in intercept form.

y = -3/2x + 7

500

Write the equation -4x + 2y = 18 in slope intercept.

y = 2x + 9

Translations

100

Translate y = |x| 2 units up.

y = |x| + 2

200

Translate the equation y = |x| 1 unit left.

y = |x + 1|

300

Translate y = |x| 4.25 units right.

y = |x - 4.25|

400

Write an equation in slope-intercept form for a line that passes through (2, -1) and is parallel to y = 4x.

y = 4x - 9

500

Write an equation in slope-intercept form of the line that passes through (-8, 3) and is perpendicular to y = ^-1⁄₂x + 3.

y = 2x + 19