Answer: y = -4x + 3
Step-by-step 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
