Question

Please help as soon as possible!

Answer 1

Answer:

D

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 )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)

m = $\frac{4-6}{8-3}$ = - $\frac{2}{5}$, hence

y = - $\frac{2}{5}$ x + c ← is the partial equation

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

Using (8, 4), then

4 = - $\frac{16}{5}$ + c ⇒ c = 4 + $\frac{16}{5}$ = $\frac{36}{5}$

y = - $\frac{2}{5}$ x + $\frac{36}{5}$ ← equation of line

Answer 2

D, love y= -2/5x+ 36/5