Question

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Find the y-intercept of −2x + 4y = 8.

Answer 1

or, divide by 8, and you get the intercept form of the equation:

x/-4 + y/2 = 1

so the intercepts are x = -4 and y=2

Answer 2

To find the y-intercept of a linear equation, we need to set x to 0 and solve for y.

Plugging in x = 0 into the equation −2x + 4y = 8, we get:

−2(0) + 4y = 8
0 + 4y = 8
4y = 8
y = 8/4
y = 2

Therefore, the y-intercept of the equation −2x + 4y = 8 is 2.

Answer 3

Actually, dividing by 8 would give us a different form of the equation, not the intercept form.

Dividing the equation −2x + 4y = 8 by 4, we get:

(-2x +4y)/4 = 8/4
(-1/2)x + y = 2

This is the standard form of the equation. The intercept form of the equation is as follows:

x/a + y/b = 1

To find the x-intercept, we set y to 0 and solve for x:

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

So the x-intercept is -4, as you correctly mentioned.

To find the y-intercept, we set x to 0 and solve for y:

(-1/2)(0) + y = 2
0 + y = 2
y = 2

So the y-intercept is 2, as mentioned earlier.