Point Slope Form

Slope-Intercept

Standard

Grab Bag

Word Problems

100

Write an equation that passes through (2, 0) and has a slope of - 5.

y - 2 = -5(x)

*this is the same as y - 2 = -5(x - 0)

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 in slope-intercept form for a line that passes through (2, -1) and has a slope of 4.

y = 4x - 9

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

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}⁄_{3}x - 4.

b = -4

200

Find the x intercept for the following equation, 3x + y = 9

x = 3

200

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

-1

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

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

Write the equation in slope-intercept of the line through the origin and (4, 8)

y = 2x

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

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}⁄_{4}x - 5

400

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

x - 5y = 20

400

Write y - 3 = ^{1}/_{3}(x + 6) in slope-intercept form.

y = ^{1}/_{3}x + 5

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

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.

500

Write an equation in standard form of the line that passes through (-5, 3) and has a slope of -2.

2x + y = -7

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

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