Answer:
y = -6x - 57
Step-by-step explanation:
We are given that a line passes through the point (-9, -3) and has a slope of -6
We want to write the equation of this line.
There are 3 ways to write the equation of the line, with the most common way being slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept
As we are already given the slope of the line, we can immediately plug that in the equation for m
Substitute m with -6.
y = -6x + b
Now we need to find b
As the equation passes through the point (-9, -3), we can use its values to help solve for b.
Substitute -9 as x and -3 as y.
-3 = -6(-9) + b
Multiply
-3 = 54 + b
Subtract 54 from both sides
-57 = b
Substitute -57 as b in the equation.
y = -6x - 57
Topic: finding the equation of the line
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