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 Form

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

A Caribbean nation produced 0.7 million tons of cane sugar. Annual production was projected to decrease by 0.05 million tons each year. Write an equation to model the situation.

y = 0.7 - 0.05x

400

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

y = ⁵⁄₄x - 5

500

Write an equation with a slope of 0 and y-intercept of 6 in simplest form.

y = 6

Standard Form

100

Find the y intercept of the equation, x + y = 3.

y = 3

200

Find the x intercept for the following equation, 3x + y = 9

x = 3

300

Find the x intercept of the equation, 8x - 4y = 16.

x = 2

400

Find the x-intercept (y=0) AND y-intercept (x=0) in the equation 4x - 5y = 40

x-intercept: (10, 0)

y-intercept: (0, -8)

500

Find the x intercept of the equation, 7x + 4y = 12.

¹²⁄₇

Parallel, Perpendicular, or Neither

100

Are these Parallel, Perpendicular, or Neither: y = 5x + 4 and y = -2/3x + 4.

What is Neither?

200

Are these Parallel, Perpendicular, or Neither: y = 5x + 4 and y = 5x - 4.

What is parallel?

300

Are these Parallel, Perpendicular, or Neither: y = 5x + 4 and y = -1/5x + 14.

What is perpendicular?

400

Are these Parallel, Perpendicular, or Neither: y = 2/3x -1 and y = -2/3x + 4.

What is Neither?

500

Are these Parallel, Perpendicular, or Neither: y = 15x + 4 and y = -1/15x+ 4.

What is perpendicular?

Write the Equation of a Line

100

Write the equation of a line that has a slope of 2 and a y-intercept value of -3.

What is y=2x-3?

200

Write the equation of a line in point-slope form that passes through the point (6, 9) and has a slope of -7.

What is Y-9= -7(x-6)?

300

Write the equation of the line that passes through points (1, 4) and (-5, 6) in slope intercept form.

What is y=-1/3x + 13/3 ?

400

Write the equation of a line that is parallel to the line y = 3x + 1 and passes through the point (1, 2).

What is y=3x - 1 ?

500

Write the equation of a line that is Perpendicular to y=1/4x-2 and crosses through the point (-3, -3).

What is y = -4x -15 ?