Question

Find the slope intercept form of the liner function using the points (-6,6) and (-2,4) Show all work

Answer 1

y = - $\frac{1}{2}$ x + 3

the equation of a line in slope- intercept form is

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, 6 ) and (x₂, y₂ ) = (- 2, 4 )

m = $\frac{4-6}{-2+6}$ = $\frac{-2}{4}$ = - $\frac{1}{2}$

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

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

using (- 2, 4 ), then

4 = 1 + c ⇒ c = 4 - 1 = 3

y = - $\frac{1}{2}$ x + 3 ← in slope-intercept form