Question

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answer 1

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answer:

y=-x+3

Answer 2

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-1 - (-7)) / (4 - (-4))

   = 6 / 8

   = 3/4

y-intercept:

y = mx + b

use the slope above and anyone of the given points to find b. Let's use (4, -1)

(-1) = 3/4(4) + b

-1 = 12/4 + b

- 1 = 3 + b

b = -4

Equation of a line:

y = mx + b

use the m and b from above to form the equation of a line.

y = 3/4x - 4