Question

(-7 -3) (-3, 5) write an equation of a line that passes through each pair of points

Answer 1

Answer:

y = 2x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 7, - 3) and (x₂, y₂ ) = (- 3, 5)

m = $\frac{5+3}{-3+7}$ = $\frac{8}{4}$ = 2, thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (- 3, 5 ), then

5 = - 6 + c ⇒ c = 5 + 6 = 11

y = 2x + 11 ← equation of line