Question

Write the equation of a line in slope-intercept form parallel to the line y = -2x + 7 and contains (-1, 3).

Answer 1

Answer:

The answer is

y = - 2x + 1

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 2x + 7

Comparing with the general equation above

Slope = - 2

Since the lines are parallel their slope are also the same

Slope of parallel line = - 2

The equation of the line using point (-1, 3) and slope - 2 is

$y - 3 = - 2(x + 1) \\ y - 3 = - 2x - 2 \\ y = - 2x - 2 + 3$

We have the final answer as

$y = - 2x + 1$

Hope this helps you