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 answer is c. 23/3

i hope this is what you were looking for.

see attached graph