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Linear Relationships and Graphs

Year 9 · Number and Algebra · 20 questions · 30 min

Hard
0 of 20
Question 1

What is the gradient of the line y = 2x + 3?

Question 2

What is the y-intercept of y = -3x + 5?

Question 3

Find the gradient of the line passing through (1, 2) and (3, 8)

Question 4

Write the equation of a line with gradient 2 and y-intercept -1

Question 5

Which line is parallel to y = 3x + 2?

Question 6

Find the gradient of the line through (0, 3) and (2, 7)

Question 7

Which equation represents a line with negative gradient?

Question 8

A line has gradient 1/2 and passes through (0, 4). What is its equation?

Question 9

Find the y-intercept of the line through (1, 5) and (2, 7)

Question 10

The cost of hiring a taxi is $3 per kilometre plus a $5 base fare. Which equation represents this?

Question 11

If y = -1/2 x + 6, what is y when x = 4?

Question 12

What is the gradient of a horizontal line?

Question 13

Find the equation of the line through (2, 1) and (4, 5)

Question 14

Which pair of coordinates lies on the line y = 3x - 2?

Question 15

A phone plan costs $20 per month plus $0.50 per minute of calls. Write the cost equation.

Question 16

Find the gradient of the line through (-1, 3) and (1, 7)

Question 17

If a line has gradient -2 and y-intercept 8, which point does it pass through?

Question 18

What is the x-intercept of y = 2x - 6?

Question 19

Two lines are perpendicular. If one has gradient 2, what is the gradient of the other?

Question 20

Sarah saves $50 per week. She already has $200. Write an equation for her total savings after w weeks.

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