Question

Please help me! It wants me to give an equation for the line using y = mx + b

Answer 1

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (2, - 5) ← 2 points on the line

m = $\frac{-5-5}{2+4}$ = $\frac{-10}{6}$ = - $\frac{5}{3}$, thus

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

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

Using (2, - 5), then

- 5 = - $\frac{10}{3}$ + b ⇒ b = - 5 + $\frac{10}{3}$ = - $\frac{5}{3}$

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