Deck 12: Linear Functions and Graphs

Question 1

A straight line goes through the points (2, 6) and (4, 10). Determine the equation of the graph.

A) y = 2x + 2
B) y = 2x + 4
C) y = 3x + 2
D) y = 3x + 4

Answer 1

y = 2x + 2

Question 2

In the equation y = a + bx which letter represents the y-intercept?

A) y
B) a
C) b
D) x

Answer 2

a

Question 3

The points (2, 4) and (5, 16) both lie on the same straight-line graph. Find the value for the gradient.

A) 12
B) 3
C) 0.25
D) 2

Answer 3

3

Question 4

What name is given to the slope of a linear function?

A) Y-intercept
B) X-intercept
C) Origin
D) Gradient

Question 5

Determine the equation of the straight line that goes through the points (2, 8) and (6, 10).

A) y = 2x + 5
B) y = 2x + 7
C) y = 0.5x + 5
D) y = 0.5x + 7

Question 6

At what point does the graph y = 2x - 3 cross the vertical axis?

A) 0
B) 2
C) -3
D) -6

Question 7

What name is given to the point at which a straight line crosses the vertical axis?

A) Y-intercept
B) X-intercept
C) Origin
D) Gradient

Question 8

y = 6x + 3 is an example of what type of function?

A) Constant function
B) Linear function
C) Quadratic function
D) Cubic function

Question 9

If y = 3x + 4, give the value of y if x equals 5.

A) 14
B) 11
C) 19
D) 15

Question 10

The gradient of a straight-line graph is -2. You know that the graph goes through the point (1, -2). What is the value of the y-coordinate when x = 3?

A) 2
B) 0
C) -4
D) -6