How do you find the x and y intercepts for 2x+4y=−8?

2 Answers
Daniel L.
May 24, 2018

See explanation.

Explanation:

To find x interxept of a function you have to substitute 0 for y and solve the equation for x:

2⋅x+4⋅0=−8

2x=−8

x=−4

The x intercept is the point (−4,0).

To find y intercept you have to substitute 0 for x and solve the equation for y:

2⋅0+4⋅y=−8

4y=−8

y=−2

The y intercept is the point (0,−2).

Bhavin B.
May 24, 2018

x-intercept = (−4,0)
y-intercept = (0,−2)

Explanation:

x-intercept is when y=0
y-intercept is when x=0

Step 1:
Lets find the x-intercept by putting y=0

2x+4y=−8

2x+(4×0)=−8

2x+0=−8

2x=−8

x=−82

x=−4 ------> x-intercept is (−4,0)

Step 2:
Lets find the y-intercept by putting x=0

2x+4y=−8

#(2 xx 0) +4y = -8

0+4y=−8

4y=−8

y=−84

y=−2 -----> y-intercept is (0,−2)

if we plot the graph, we get the same. enter image source here

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