Question

A line has a slope of
(-2,3) and passes through the point (-3, 8). What is the equation of the line?

Answer 1

Answer:

first option

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 = - $\frac{2}{3}$ , thus

y = - $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute (- 3, 8) into the partial equation

8 = 2 + c ⇒ c = 8 - 2 = 6

y = - $\frac{2}{3}$ x + 6 ← equation of line