Write an equation in slope- intercept form for the line that is parallel to 4x+8y=16 and goes through the point (-4,6)

The equation would be y = -1/2x + 4

Step-by-step explanation:

To find this line, start with the slope. To find the slope, solve the equation for y.

4x + 8y = 16

8y = -4x + 16

y = -1/2x + 2

Since it is parallel to the first line and parallel lines have the same slope, we know the slope to be -1/2. Given this we can use point-slope form and solve for y to get the equation.

y - y1 = m(x - x1)

y - 6 = -1/2(x + 4)

y - 6 = -1/2x - 2

y = -1/2x + 4

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^