Problem

Write an equation of the line passing through (−5,6) and having slope -7 . Give the answer in slope-intercept form.
The equation of the line in slope-intercept form is

Answer

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Answer

Final Answer: The equation of the line is y=−7x−29.

Steps

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

Step 2 ：We are given that the slope m is -7 and the line passes through the point (−5,6). We can substitute these values into the equation to find the y-intercept b.

Step 3 ：Substituting the values, we get 6=−7∗(−5)+b. Solving for b, we get b=−29.

Step 4 ：Now that we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form.

Step 5 ：Final Answer: The equation of the line is y=−7x−29.

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