Answer:
y=-3x-15
Explanation:
Hi there!
We want to find the equation of the line that is parallel to the line y=-3x and passes through the point (-2, -9).
We want that line written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Parallel lines have the same slope, but different y intercepts.
In the equation y=-3x, -3 is taking the place of where m is. So -3 is the slope of y=-3x
It's also the slope of the line parallel to it.
So we can substitute -3 as m in y=mx+b. Hence,
y=-3x+b
Now we need to find b
As the equation passes through (-2, -9), we can use it to solve for b
Substitute -2 as x and -9 as y into the equation
-9=-3(-2)+b
Multiply
-9=6+b
Subtract 6 from both sides
-15=b
Substitute that value as b into the equation
y=-3x-15
Hope this helps!