Question

Write the equation of the line through the given points:

(0, 7), (-5, 17)

Answer 1

y = -2x + 7

Explanation:

we know that y = mx + b

we also know that plugging both of these points into this equation will work. we can create a system of two equations that will let us solve for m and b.

equation 1:

7 = m(0) + b

equation 2:

17 = m(-5) + b

based on equation 1, b = 7. put this in equation 2

17 = m(-5) + 7

m = -2

thus the equation will be

y = -2x + 7