Question

What is the equation of the line that passes through the point (6, 4) and has a slope
of -2/3?​

Answer 1

Answer:

y = - $\frac{2}{3}$ x + 8

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 (6, 4) into the partial equation

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = - $\frac{2}{3}$ x + 8 ← equation of line