Question

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

Answer 1

Answer:

$y = - \frac{4}{3} x - 5$

Step-by-step explanation:

The standard form for the equation of a line is

$y = mx + c$

We were told that

$y = 3 \: \: \: x = - 6 \: \: \: m = - \frac{4}{3}$

*Note m is the slope*

Therefore

$y = mx + c \\ 3 = - \frac{4}{3} (- 6) + c \\ 3= 8 + c \\ 3 - 8= c \\ - 5 = c$

So the answer is

$y = - \frac{4}{3} x - 5$