Question

Graph the lines by finding the points of intersection with the axes (intercepts): y=2x+2

Answer 1

x-coordinate: (-1, 0)

y-coordinate: (0, 2)

Explanation:

To solve for x, y must be 0

(0) = 2x+2

-2x -2x

-2x = 2

/-2 /-2

x = -1

(-1, 0)

To solve for y, x must be 0

y = 2(0)+2

y = 2

(0, 2)

Answer 2

For the purpose, it is convenient to put the equation into intercept form:

x/a + y/b = 1

Here, we can divide by 2 and subtract the x-term to get

x/(-1) + y/2 = 1

Then we can see that the x-intercept is (-1, 0) and the y-intercept is (0, 2).