Question

Find a equation for the line below

Answer 1

Answer:

y = - $\frac{1}{2}$ x - $\frac{13}{2}$

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 1, - 6)

m = $\frac{-6+4}{-1+5}$ = $\frac{-2}{4}$ = - $\frac{1}{2}$, thus

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

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

Using (- 1, - 6), then

- 6 = $\frac{1}{2}$ + c ⇒ c = - 6 - $\frac{1}{2}$ = - $\frac{13}{2}$

y = - $\frac{1}{2}$ x - $\frac{13}{2}$ ← equation of line