Question

What are the x-intercept and y-intercept of the graph of y=−1/2x+4 ? Drag and drop your answers into the boxes. x-intercept: y-intercept:

a:-8
b:-4
c:-2
d:2
e:4
f:8

Answer 1

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

In this problem we have

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

Step 1

Find the x-intercept

For
`y=0`

Substitute

`0=-(1)/(2)x+4`

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

`x=8`

The answer Part 1) is the option f

`8`

Step 2

Find the y-intercept

For
`x=0`

Substitute

`y=-(1)/(2)*0+4`

`y=4`

The answer Part 2) is the option e

`4`

see the attached figure to better understand the problem

Answer 2

You want to look back at Y = mx + b
M = slope
B= Y-intercept
so since 4 is B, that makes the Y-intercept 4

In order to find the x-intercept you want to substitute Y for 0
so the equation y = 1/2x +4 so it would be 0 = 1/2x + 4.

we want to isolate the x coordinate so we have to subtract it from both sides of the equation:
0 = 1/2x + 4
-1/2x -1/2x
that gives me:
-1/2x = 4
next to get X by itself we have to divide -1/2 from both sides of the equation:
-1/2x = 4
------- ----
-1/2 -1/2
that gives me:
x = -2

overall the y-intercept is 4 or (0,4) and the x-intercept is -2 or (-2,0)