Problem

A line passes through the point (−10,−7) and has a slope of −12. Write an equation in slope-intercept form for this line.

Answer

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Answer

y=−12x−12 is the final answer.

Steps

Step 1 ：The slope-intercept form of a line is given by y=mx+b, where m is the slope and b is the y-intercept.

Step 2 ：We know the slope m is −12 and we have a point (−10,−7) that the line passes through.

Step 3 ：We can substitute these values into the equation to solve for b.

Step 4 ：m=−0.5

Step 5 ：b=−12.0

Step 6 ：Now that we have the y-intercept b, we can write the equation of the line in slope-intercept form.

Step 7 ：y=−12x−12 is the final answer.

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