Year 9 Linear and Non-Linear Graphs Quiz

For the rule y = −4x + 2, what does y equal when x = 3?

• 10

• 12

• 14

• -10

• -8

The gradient for the line in the following diagram is:

• 5

• $\frac{5}{2}$

• $\frac{2}{5}$

• 2

• -2

The y-intercept of the linear graph y = −6x + 2 is:

• y = -6

• x = 2

• y = -2

• y = 2

• x = 3

Consider a linear graph that goes through the points (0, −3) and (−6, 0).

The gradient of this line is:

• -2

• 2

• 1

• 0.5

• -0.5

The rule for a line whose gradient is 2 and y-intercept = −7 is:

• y = −2x + 14

• y = 2x + 7

• y = −2x − 14

• y = 2x − 7

• y = −2x − 7

Which of the following rules will not yield a linear graph?

• $3x+y-8=0$
  

• $y-3x^2=5$

• $x=7-y$

• $y=0$

• $\frac{3}{y}=\frac{4}{x}$

A straight line has an x-intercept of x = −3 and a y-intercept of y = 9. The gradient of this line is:

• 3

• -3

• $\frac{1}{3}$

• $-\frac{1}{3}$

• 9

A straight line has an x-intercept of x = −3 and a y-intercept of y = 9. The rule for the straight line is:

• y = −3x + 9

• $y=-\frac{1}{3}x+9$

• $y=\frac{1}{3}x-9$

• y = −3x − 9

• y = 3x + 9

Which of the options would not be a member of the family of curves defined by:

y = 2x + 1

y = 3x + 1

y = 4x + 1 …?

• y = –2x + 1

• y = x + 1

• y = 2x

• y = 5x + 1

• y = 6x + 1

The solution to the simultaneous equations

y = 6x + 3 and y = –6x + 3 is:

• (0, 3)

• (3, 0)

• $\left(0,\frac{1}{4}\right)$

• $\left(-\frac{1}{4},0\right)$

• (0,6)