Point Slope Form
Slope-Intercept
Standard
Word Problems and Parallel/Perpendicular Lines
100
Write an equation that passes through (2, 0) and has a slope of - 5.
y - 2 = -5(x)
100
Find the slope of y = -3x + 2
m = -3
100
Find the y intercept of the equation, x + y = 3.
y = 3
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
Write an equation that passes through (0, -4) and (5, -3)
y + 4 = 1⁄5(x)
200
Find the intercept of the equation, y = -5⁄3x - 4.
b = -4
200
Find the x intercept for the following equation, 3x + y = 9
x = 3
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
Find an equation for a line that passes through (-5, 3) and (2, 1).
y - 3 = -2⁄7(x + 5)
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
300
Find the x intercept of the equation, 8x - 4y = 16.
x = 2
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 that passes through (2, -1) and is parallel to y = 4x.
y + 1 = 4(x - 2)
400
Write the equation 5x - 4y = 20 in slope-intercept form.
y = 5⁄4x - 5
400

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

7x - 5y = 20

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
Find an equation for a line that passes through (2, -9) and (-3, 5).
y + 9 = -14⁄5(x - 2)
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

500
Find the x intercept of the equation, 7x + 4y = 12.
12⁄7
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
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