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

answer:   n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11

+5             +5

2n ≥ -6

2/2 ≤ -6/2

n ≤ -3

-6 - 10n > 44

+6           +6

-10n > 50

-10/-10 50/-10

n < -5

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