Question

What is the y-intercept and x-intercept of g(x)=-2x+6

Answer 1

x-int : 3

y-int : 6

Explanation:

in order to find x intercept, you set the function equeal to 0

0= -2x + 6

then solve for x

-6 = -2x

3=x

To solve for the y intercept, you plug in 0 for x

y = -2(0) + 6

then solve for y

y = 6

Answer 2

see below

Explanation:

g(x)=-2x+6

To find the y intercept set x = 0

g(0) = -2(0) +6

g(0) = 6

The y intercept is 6

(0,6)

To find the x intercept set y = 0

0 = -2(x) +6

Subtract 6 from each side

0-6 = -2x+6-6

-6 = -2x

Divide each side by -2

-6/-2 = -2x/-2

3 = x

The x intercept is 3

(3,0)