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What is the x-intercept of the graph: 2x + 4y = -10

2 Answers

0 votes

Explanation:

make y the subject

2x + 4y = -10

4y = -2x -10

4y = -2 (x + 5)

divide both sides by 4

y = -2 (x + 5)/4

y = -(x+5)/2

y = -x/2 -5/2

y = -1/2x - 2.5

y = -0.5x - 2.5

intercept is -5/2 or -2.5

User Iandotkelly
by
7.1k points
2 votes

Answer:
x=-5

Explanation:

By definition, the function intersects the x-axis when the value of "y" is zero (
y=0).

Therefore, in order to find the x-intercept of the given function
2x + 4y = -10, you need to substitute
y=0 into the function and solve for "x".

Then, the x-intercept is:


2x + 4(0) = -10\\\\2x=-10\\\\x=(-10)/(2)\\\\x=-5

User Lashan Fernando
by
8.5k points

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