Problem

4. Has slope of 5 and passes through (6,1)

Answer

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Answer

The equation of the line is y=5x−29.

Steps

Step 1 ：The question is asking for the equation of a line that has a slope of 5 and passes through the point (6,1). The general form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.

Step 2 ：We know the slope (m) is 5, and we can find b by substituting the given point into the equation and solving for b.

Step 3 ：Substituting the given point (6,1) into the equation y=mx+b, we get 1=5∗6+b. Solving for b, we find that b = -29.

Step 4 ：Now that we have the slope (m) and the y-intercept (b), we can write the equation of the line.

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

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