spike12345
Answered

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

Verified Answer :

AnnoyingMadi

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)

calculista

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

\(y=-\frac{1}{2}x+4\)

Step 1

Find the x-intercept

For \(y=0\)

Substitute

\(0=-\frac{1}{2}x+4\)

\(\frac{1}{2}x=4\)

\(x=8\)

The answer Part 1) is the option f

\(8\)

Step 2

Find the y-intercept

For \(x=0\)

Substitute

\(y=-\frac{1}{2}*0+4\)

\(y=4\)

The answer Part 2) is the option e

\(4\)

see the attached figure to better understand the problem

View image calculista

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