Question

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5

Answer 1

Answer:

see explanation

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 = $\frac{2}{5}$, thus

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

To find c substitute (- 2, 4) into the partial equation

4 = - $\frac{4}{5}$ + c ⇒ c = 4 + $\frac{4}{5}$ = $\frac{24}{5}$

y = $\frac{2}{5}$ x + $\frac{24}{5}$ ← equation of line