Question

A line contains the Point (8,3) and (-4, 9) what is the equation of the ine?

Answer 1

Answer:

y = - $\frac{1}{2}$ x + 7

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 ) = (8, 3 ) and (x₂, y₂ ) = (- 4, 9 )

m = $\frac{9-3}{-4-8}$ = $\frac{6}{-12}$ = - $\frac{1}{2}$ , then

y = - $\frac{1}{2}$ x + c ← is the partial equation

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

using (- 4, 9 ) , then

9 = 2 + c ⇒ c = 9 - 2 = 7

y = - $\frac{1}{2}$ x + 7 ← equation of line