Question

ANSWER RIGHT FOR BRAINLIEST PLEASE equation of the line that passes through the point (–2, 3) and has a slope of 1/3

Answer 1

Answer:

y = $\frac{1}{3}$ x + $\frac{11}{3}$

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 = $\frac{1}{3}$, thus

y = $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (- 2, 3) into the partial equation

3 = - $\frac{2}{3}$ + c ⇒ c = 3 + $\frac{2}{3}$ = $\frac{11}{3}$

y = $\frac{1}{3}$ x + $\frac{11}{3}$ ← equation of line