Point Slope Form
Slope-Intercept
Standard
Translations
Word Problems
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

Write an equation that represents a translation 2 units up of the parent function.

y = x + 2

100

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.  Find the total amount spent for a 2-year membership.

y = 5x + 20; $140

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

Write an equation that represents a reflection and a stretch of 2 of the parent function.

y = -2x
200

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.  How much will you spend if you rent the bike for 8 hours?

y = 1.50x + 4; $16

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

Given the function y = -0.25x - 3, list the transformations

Reflection, shrink by 0.25 and translation down three units

300

Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left.Write an equation in point-slope form that represents the relationship.  How much money did he start with?

y - 68 = -3(x - 14); $110

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

Describe the translation(s) occuring in the equation, f(x) = (x + 1) - 4

Left 1 unit, down 4 units

400

For 4 months, you saved $25 a month. You now have $175 in your savings account.  Write an equation in point-slope form that represents the relationship.  How much money did you start with in the account?

y - 175 = 25(x - 4); $75

500
Find an equation for a line that passes through (2, -9) and (-3, 5).
y + 9 = -14⁄5(x - 2)
500

Write a direct variation equation where y = 3 and x = 9.

y = (1⁄3)x

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

Write an equation of a function that has a reflection, a stretch of 4 and a vertical translation 7 units

y = -4x + 7

500

Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $4500.  Write an equation that represents the combination of these two types of tickets purchased.  If 285 tickets were purchased with student IDs, how many were purchased through general admission?

15g + 9s = 4500; 129 general admission

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