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 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

Ye is riding home from a friend's house.  After 5 minutes, he is 4 miles from home.  After 15 minutes, he is 2 miles from home. Which equation models Ye's distance from home, y in terms of minutes, x? 

y = -0.2x+5

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

Word Problems and Parallel/Perpendicular Lines

100

Jake needs to buy 120 beverages for a party.  What equation, in standard form, determines the numbers of 8-packs of juice x and 12-packs of water y that Jake can buy?  

8x+12y=120 

200

What is the equation in slope-intercept form of the line that passes through the point(-0.5, 7) and is parallel to the graph of y=-8x-2?

y=-8x+3

300

An elevator rises steadily up a skyscraper.  After 4 s, it is 33m above the ground.  2 seconds later, it is 47 m above the ground.  Which equation models its height, y, with respect to time, x in point slope form? 

y-33= 7(x-4) 

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