Question

Determine the x and y intercept of the graph of y=1/4x+2

Answer 1

Explanation:

the x intercept :when y=0 1/4x +2 =0

1/4x = - 2 so : x = - 8

the y intercept : when x = 0 1/2(0)+2 = 2

Answer 2

see explanation

Explanation:

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

Substitute y = 0 into the equation and solve for x

`(1)/(4)` x + 2 = 0 ( multiply through by 4 to clear the fraction )

x + 8 = 0 ( subtract 8 from both sides )

x = - 8 ← x- intercept ⇒ (- 8, 0 )

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

Substitute x = 0 into the equation and solve for y

y = 0 + 2, that is

y = 2 ← y- intercept ⇒ (0, 2 )