Question

Find an equation of the line that passes through the given point and has the indicated slope m.

Answer 1

Answer:

y = $\frac{4}{5}$ x + 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 )

Here m = $\frac{4}{5}$ , thus

y = $\frac{4}{5}$ x + c ← is the partial equation

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = $\frac{4}{5}$ x + 2 ← equation of line in slope- intercept form