Question

Find the x - and y - intercepts of the line. Y= 1/4x + 2Y intercept: ( , )X intercept: ( , )

Answer 1

Y intercept: (0, 2)

X intercept: (-8, 0)

Explanation:

We have the following equation:

`y=(1)/(4)x+2`

We have that x-intercept is the point when y is equal to 0 and y-intercept is point when x is equal to 0, therefore:

`\begin{gathered} \text{ x-intercept} \\ 0=(1)/(4)x+2 \\ (1)/(4)x=-2 \\ x=4\cdot-2=-8\rightarrow(-8,0) \\ \text{y-intercept} \\ y=(1)/(4)\cdot0+2 \\ y=2\rightarrow(0,2) \end{gathered}`