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Slope and Y Intercept

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6   y-intercept:  4 

b)

slope: 1/5   y-intercept:  5 

c)

slope: 5/1   y-intercept:  5 

d)

slope: 1   y-intercept:  5 

2.

The monthly cost of renting a laptop is shown in the graph. Which equation best represents the cost, y, of renting the laptop for, x, months?

a)

y = 45x

b)

y = 35x + 45

c)

y = 65x + 45

d)

y = 20x + 45

3.

Look at the table. Which equation best models the data?

a)

f(x) = -4x + 1

b)

f(x) = 2x - 8

c)

f(x) = -12x + 3

d)

f(x) = 2x + 2

4.

Write the slope intercept equation for the line shown on the coordinate plane.

a)

f(x) = 3x - 1

b)

f(x) = -3x - 1

c)

f(x) = 1/3x + 1

d)

f(x) = 1/3x - 1

5.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

6.

The equation with a slope of 2/3 and a y-intercept of -3 is written as (a)  

Choose from the below words

y=3/2x+3

y=2/3-3

y=2/3x-3

y=2/3x+3

7.

Write an equation for the line with the given slope and y-intercept m=78, b = 4m=-\frac{7}{8},\ b\ =\ 4

8.

Consider the following word problem. A job opening at Chik Fil A offers to pay $15 per hour plus a $50 hiring bonus.

​ (a)   is the number that repeats (slope)

​ (b)   is the one time fee (y-intercept)

Choose from the below words

15

50

9.

Consider the following word problem. A job opening at Chik Fil A offers to pay $15 per hour plus a $50 hiring bonus. ​ (a)   is the number that repeats (slope) ​ (b)   is the one time fee (y-intercept)

Choose from the below words

15

50

10.

Write an equation of the line given m = 1 and b = 4

a)

y = 4x + 1

b)

y = x - 4

c)

y = -1x + 4

d)

y = x + 4

11.

Convert the equation 3x -5y = -10 to slope intercept form.

a)

y = -3/5x - 2

b)

x = 5/3y - 10/3

c)

x = -5/3 + 10/3

d)

y = 3/5x + 2

12.

What is the slope-intercept equation of the graph?

a)

y=1x+2y=1x+2

b)

y=1x+2y=-1x+2

c)

y=2y=2

d)

y=1xy=-1x

13.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

14.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

15.

Look at the graph and calculate the slope.

Remember:

slope =rise (y)run (x)slope\ =\frac{rise\ \left(y\right)}{run\ \left(x\right)}

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

16.

Look at the graph and calculate the slope.

a)

52\frac{5}{2}  

b)

52-\frac{5}{2}  

c)

25\frac{2}{5}  

d)

25-\frac{2}{5}  

17.

Look at the graph and calculate the slope.

Remember:

slope =rise (y)run (x)slope\ =\frac{rise\ \left(y\right)}{run\ \left(x\right)}

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

18.

Find the slope between (5, 3) and (9, 9) in simplest form.

a)

4.6

b)

3/2

c)

6/4

d)

3.2

19.

Use the slope formula to find the slope of the line that goes through the points (-5,1) and (-2, -3).

a)

3/4

b)

-3/4

c)

4/3

d)

-4/3

20.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5