Graphs 2

3 marks · Easy

The straight line $y = -2x + 6$ intersects the $y$-axis at point $A$ and the $x$-axis at point $B$.

(a)

Write down the coordinates of point $A$ where the line crosses the $y$-axis.

[1 mark]

(b)

Find the coordinates of point $B$ where the line crosses the $x$-axis.

[2 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

(a) (0, 6)

(b) (3, 0)

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · Writes $(0, 6)$ as the $y$-intercept.

M1 (b) · 1 mark · Sets $y = 0$ and solves $0 = -2x + 6$ for $x$.

A1 (b) · 1 mark · Gives $(3, 0)$ as the $x$-intercept.

Worked solution

a) The $y$-intercept is where $x = 0$.

So $A$ is at $(0, 6)$.

b) The $x$-intercept is where $y = 0.$

So $B$ is at $(3, 0)$.