Question

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

Answer 1

Step-by-step 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

Answer 2

Answer: $x=-5$

Step-by-step 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:

$2x + 4(0) = -10\\\\2x=-10\\\\x=\frac{-10}{2}\\\\x=-5$