Problem

Find the equation of the line that passes through the points (2,5) and (4,9) using the point-slope form.

Answer

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Answer

Step 3: Simplify the equation to the slope-intercept form (y = mx + b). We have y−5=2x−4, which simplifies to y=2x+1

Steps

Step 1 ：Step 1: Calculate the slope (m) of the line using the formula m=y2−y1x2−x1. Substituting the given points, we get m=9−54−2=2

Step 2 ：Step 2: Substitute the slope and one of the points into the point-slope form equation y−y1=m(x−x1). Using the point (2,5) and the slope 2, we get y−5=2(x−2)

Step 3 ：Step 3: Simplify the equation to the slope-intercept form (y = mx + b). We have y−5=2x−4, which simplifies to y=2x+1

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