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Find the equation of the line through (3,-6) which is parallel to the line y=-9x+8

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The equation y = -9x + 8 is already in slope-intercept form. So, the number multiplying x, i.e., -9 is the slope of this line.

Also, since we need to find the equation of a line that is parallel to that one, their slopes are the same (parallel lines have the same slope).

We need to use the following formula for the equation of a line passing through the point (a, b) with slope m:

y - b = m(x - a)

In this case, we have:

a = 3

b = -6

m = -9

Thus, the equation of the line is:

y - (-6) = -9(x - 3)

y + 6 = -9x + 27

y = -9x + 27 - 6

y = -9x +21

Therefore, the

User Mohamed Shaban
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