Problem

Find the equation of a line that passes through the point (2,3) and has a slope of 4.

Answer

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Answer

Step 5: Substitute b=−5 back into the equation to get the final equation of the line: y=4x−5.

Steps

Step 1 ：Step 1: Recall the slope-intercept form of a linear equation: y=mx+b, where m is the slope and b is the y-intercept.

Step 2 ：Step 2: Substitute the slope m=4 into the equation to get: y=4x+b.

Step 3 ：Step 3: Substitute the point (2,3) into the equation to solve for b: 3=4∗2+b.

Step 4 ：Step 4: Simplify the equation to solve for b: 3=8+b, b=−5.

Step 5 ：Step 5: Substitute b=−5 back into the equation to get the final equation of the line: y=4x−5.

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