Question

A line has the equation y=x+3

What are the coordinates of the point where the line intersects the y and x axis?

Answer 1

(0, 3 ) and (- 3, 0 )

Explanation:

Where the line crosses the y- axis the x- coordinate is zero.

Substitute x = 0 into the equation and solve for y

y = 0 + 3 = 3

Thus the y- intercept is (0, 3 )

Where the line crosses the x- axis the y- coordinate is zero.

Substitute y = 0 into the equation and solve for x

0 = x + 3 ( subtract 3 from both sides )

- 3 = x

Thus the x- intercept is (- 3, 0 )