Question

What is the equation of the line that goes through the points (- 2, 1) and (0, 4) ? (Write your answer in standard form .)

Answer 1

Answer:

$3x-2y+8=0$

Step-by-step explanation:

The slope of the line that goes through the points (-2, 1) and (0, 4) is

$\frac{4-1}{0-(-2)} = \frac{3}{2}$

The slope of the line that goes through the points (x, y) and (0, 4) is

$\frac{4-y}{0-x} = \frac{4-y}{-x}$

So $\frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0$