Question

What is an equation of the line that passes through the points (-1, 7)and (1,−3)?

Answer 1

Answer: y = -5x+2

Step-by-step explanation:

Slope =
`(rise)/(run)` or
`\frac{y_(2)-y_(1)}{x_(2)-x{1}}`

therefore, given those two points,

Slope =
`((-3)-7)/(1-(-1))`

Slope =
`(-10)/(2)`

Slope = -5

Since the m value is the slope, m = -5

In order to find the b value, just substitute the values in the equation with any of the two points given. I'll use (-1,7) but you can use the other one just fine.

let x =1, y = -3

-3=-5(1)+b

-3 = -5+b

-3+5 = b

b = 2

Plug b in the equation:

y=-5x+2