Question

what is the equation in slope intercept form of the line that passes through the point (2,-5) and is parallel to the line represented by 8x+2y=14

Answer 1

Answer: y = -4x + 3

Explanation:

First, we will write 8x+2y=14 in slope-intercept form.

8x+2y=14

2y = -8x + 14

y = -4x + 7

Next, we will take this new slope-intercept form equation, y = -4x + 7, and use the slope from it to substitute the coordinate point given to find the y-intercept of the equation we are trying to find.

y = -4x + b

(-5) = -4(2) + b

-5 = -8 + b

b = 3

Lastly, we will write our equation with a slope of -4 and a y-intercept of 3.

y = -4x + 3