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 has a slope of 4.

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 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 the equation of a line through (2,6) with a slope of -4 in slope-intercept form.

y = -4x+14

Standard

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

Write an equation in standard form that passes through the points (0, -4) and (5, 3).

7x - 5y = 20

500

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

¹²⁄₇

Best Method

100

The most appropriate equation for a line through (1,-2) with a slope of -4/5.

What is Point-Slope?

200

The most appropriate form for a line that has a y-intercept of 4 and a slope of 3/2.

What is Slope-intercept?

300

The most appropriate form of a line through (-4,4) and (6,13).

What is Point-Slope?

400

Write the equation of a vertical line passing through (-5,4).

What is x=-5?

500

Write an equation of a line passing through (1,-5) and (3,-5).

What is y=-5?