What is the slope-intercept equation of the line going through (3, -6) and (1,2)?
A. y=-4x+ 2
B. y = -4x + 1
O c. y-2 = -4(x - 1)
O D. y=-4x + 6

Hi there!

To derive an equation given the points, we can use the slope formula:

Plug in the corresponding coordinates:

Simplify:

Therefore, we have:

y = -4x + b

Plug in the x and y values for a coordinate to solve for b:

2 = -4(1) + b

2 = -4 + b

b = 6

The equation is:

y = -4x + 6. The correct answer is D.

its b

step-by-step explanation: