Problem

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

Answer

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Answer

Step 3: Substitute m=−54 and b=3 back into the equation y=mx+b to get the final equation of the line: y=−54x+3

Steps

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

Step 2 ：Step 2: We already know the y-intercept b=3. To find the slope, we use the formula m=y−bx, substituting the given point (4, -2) into the equation: m=−2−34=−54

Step 3 ：Step 3: Substitute m=−54 and b=3 back into the equation y=mx+b to get the final equation of the line: y=−54x+3

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