Common Core 8.EE.B.6 worksheet

Question 1

Does the point (−2, −3) lie on the line y = −x − 4?

• A. Yes
• B. No

Question 2

Jamal cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (5, 45). What is the slope, and so the speed in km/h?

Answer 

Question 3

Sam says the line through (0, −2) with slope 3 is y = −2x + 3. Write the correct equation. Type the right-hand side.

Answer 

Question 4

Find the slope of 9x + 2y = −6. Give a whole number or fraction.

Answer (as a fraction)

Question 5

Write the equation of the line with slope −7 and y-intercept −3. Type the right-hand side (y = …).

Answer 

Question 6

On the graph of y = −2x − 2, what is y when x = 4?

Answer 

Question 7

What is the y-intercept of 2x + 4y = −4?

Answer 

Question 8

What is the slope of the line y = −2x + 6?

Answer 

Question 9

The line passes through the two marked points (0, 4) and (2, −2). What is its slope?

Answer 

Question 10

Find the slope (gradient) of the line through (−2, 0) and (−3, −1). Give a whole number or a fraction in simplest form.

Answer (as a fraction)

Question 11

Write the equation of the line shown. Type the right-hand side (y = …).

Answer 

Question 12

Does the point (3, −2) lie on the line y = x − 5?

• A. Yes
• B. No

Question 13

Yuki cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (4, 12). What is the slope, and so the speed in km/h?

Answer 

Question 14

Mei says the line through (0, 1) with slope 3 is y = x + 3. Write the correct equation. Type the right-hand side.

Answer 

Question 15

Find the slope of −4x + 2y = 8. Give a whole number or fraction.

Answer (as a fraction)

Question 16

Write the equation of the line with slope −1 and y-intercept −7. Type the right-hand side (y = …).

Answer