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Find the equation of the line that cuts through the x axis at x = -1 and whose slope is 9

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Answer:

y = 9x + 9

Explanation:

If the equation cuts through the x-axis at x = -1, the point is (-1, 0).

Point are written (x,y). In (-1, 0), x = -1 and y = 0

Equations of lines (in slope-intercept form) are written as y=mx+b.

x and y are for points on the line, like (-1, 0).

m is the slope, we know is 9.

b is the y-intercept, which we need to find.

Substitute m=9, x=-1, y=0 into the equation

y = mx + b

0 = 9(-1) + b Multiply -1 and 9

0 = -9 + b Add 9 to both sides to isolate b

b = 9

Substitute b=9 back into the equation with the slope.

y = 9x + 9

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