Problem

Find the equation of the line that passes through the point (3,5) and has a slope of 2.

Answer

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Answer

Finally, add 5 to both sides to solve for y, yielding the equation y=2x−1.

Steps

Step 1 ：The point-slope form of a line is given by y−y1=m(x−x1), where m is the slope of the line and (x1,y1) is a point on the line.

Step 2 ：Given the point (3,5) and the slope 2, we can substitute these values into the point-slope form to get y−5=2(x−3).

Step 3 ：Distribute the 2 on the right side of the equation to get y−5=2x−6.

Step 4 ：Finally, add 5 to both sides to solve for y, yielding the equation y=2x−1.

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