Forms of Linear Equations

Point Slope Form

100

Write an equation that passes through (2, 1) and has a slope of - 5.

y - 1 = -5(x - 2)

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 17 tons of cane sugar on the first day. Daily production was projected to decrease by 0.5 tons each day. Write an equation to model the situation.

y = 17 - 0.5x

400

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

y = ⁵⁄₄x - 5

500

How does one graph slope intercept form? List steps

1) Plot y intercept

2) Use slope to find next point, plot the point

3)Connect line through points, done.

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, 0).

4x -5y = 20

500

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

^{x = 12}⁄₇ 

_{y = 3}

Random

100

The formula for finding the slope between two points is ______.

m = y₂-y₁/x₂-x₁

200

Calculate the slope of the line through (-3, 5) and (3, -1)

-1

300

A horizontal line would have a slope of.....

0

400

How many pets does Miss Danko have?

4

500

What college did Miss Danko go to?

Kutztown University

Word Problems

100

Write an equation in slope-intercept to model the following.

There is currently ¹/₂" of snow on the ground. It snows 3" per week for the rest of the winter.

y = 3x + ¹/₂

200

Each notebook in a store costs $3, and each eraser costs $2. If you want to spend exactly $18, write an equation in standard form modeling this situation.

3x + 2y = 18

300

Museum entry is $15 per person and parking is $20 for the vehicle. Model the cost of admission, assuming everyone travels together in one vehicle.

If your cost is $80, how many people visited the museum?

y = 15x + 20

4 people visited

400

A new shoe shop sold 40 shoes in the first day, and every day after that it sold 20 more shoes. Write an equation in point-slope form modeling the number of shoes the shop sold.

y - 40 = 20(x - 1)

500

In a supermarket, each box of veggie burgers costs $4, and each carton of juice costs $3. If you want to spend exactly $24, what are three different combinations of groceries you could buy?

0 burgers, 8 juice cartons

3 burgers, 4 juice cartons

6 burgers, 0 juice cartons