write an equation for the line through the point -6 and -1 and parallel to the line 3x + y equals negative 7. write your answer

Question

3 years ago

6

in slope intercept form

1 answer:

aniked [119] · Answer 1 · 2022-07-19T05:37:37+03:00

Answer:

y = -3x - 19

Step-by-step explanation:

The line passes trough (-6,-1)

The line is parallel to line whose equation is 3x + y = -7

Writing the equation of this parallel line in slope intercept form:

y = -3x - 7

Because the two lines are parallel, their slopes are the same.

Since the slope(m) is -3, equation of our first line will be:

Slope(m) = Change in y ÷ change in x

Taking another point (x,y) lying on our first line:

-3 = $\frac{y - -1}{x - -6}$ = $\frac{y + 1}{x + 6}$

Cross multiplying gives;

y + 1 = -3x - 18

y = -3x - 19