Slope Intercept From
Solving F(x)
Word Problems
Slope
Potpourri
100

What is the equation for slope-intercept form?

y = mx + b

100

f(x) = 2x

Solve f(15)

30 

f(15) = 2(15)

100

BillyBob is saving money for a car. He starts with $500 and then saves $150 every paycheck. Write the equation.

y = 150x +500

100

What is the average rate of change

slope

100

What is the slope of a vertical line?

Undefined

200

Write the equation with a slope of -5 and y-intercept of 3

y = -5x + 3

200

f(x) = 12x - 5

Solve f(6)

f(x) = 55

200

LaFawnda has $29 on a gift card for a coffee shop. She spends $3 every time she buys coffee. Write the equation.

y = 29 - 3x

200

What is the slope for a line passing through (2,8) and ( 7, -1)

-9/5

200

Find the slope of (20, 3000) and (60,2000)

m = -25

300

Write the equation with a slope of 0 and a y-intercept of 47

y = 47

300

f(x) = 2x + 7

Solve f(x) = 19

x = 6

300

A ride in a cab costs $0.40 plus $0.15 per mile. How much does the cab charge for a trip of 8 miles?

$1.60

300

What is the formula for slope?

change in y/change in x or

y2 - y1/x2 - x1

300

What lines have the same slope?

Parallel lines

400

Write the equation in slope-intercept form when the slope is 4 and the line goes through the point (2,5)

y = 4x - 3

400

f(x) = 5x - (1/2)

Solve f(-1/2)

f(x) = -3

400

Molly is throwing a beach party. She still needs to buy beach towels and beach balls. Towels are $3 each and beachballs are $4 each. She bought 6 towels and her total cost was $34. How many beach balls did she get?

4 beachballs

34 = 3(6) + 4x

34 = 18 +4x

400

What is the slope of a line that passes through the points (9, 7/8) and (9, 16/57).

Undefined

400

What is the general form?

f(x) = ax + b

500

Determine the equation of the table provided

y = 6x + 4

500

f(x) = (1/4)(x - 16)

solve f(x) = -2

x = 8


500

Lisa is selling handmade jewelry. The materials cost $60, and she sells each piece for $20. How many pieces does she have to sell to break even?

3 pieces

60 = 20x

500

What is the slope of a line passing through the points (1/2, 1/4) and ( -1/4, 1/2). Answer must be simplified.

m = -1/3

500

What is factored form?

f(x) = a(x - c)

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