Question

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

Answer 1

Hi there!

`\large\boxed{D. \text{ }y = -4x + 6}`

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

`slope = \frac{y_(2)-y_(1)}{x_(2)-x{1}}`

Plug in the corresponding coordinates:

`slope = (-6-2)/(3-1)`

Simplify:

`slope = (-8)/(2) = -4`

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.