Question

Write the linear equation in slope-intercept form given the following: (-3, 7) and (6, -8)

Answer 1

Answer:

y = - $\frac{5}{3}$ x + 2

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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)

m = $\frac{-8-7}{6+3}$ = $\frac{-15}{9}$ = - $\frac{5}{3}$ , then

y = - $\frac{5}{3}$ x + c ← is the partial equation

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

Using (6, - 8) , then

- 8 = - 10 + c ⇒ c = - 8 + 10 = 2

y = - $\frac{5}{3}$ x + 2 ← equation of line