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 = [tex]\frac{y - -1}{x - -6}[/tex] = [tex]\frac{y + 1}{x + 6}[/tex]
Cross multiplying gives;
y + 1 = -3x - 18
y = -3x - 19
