Problem

Given the points A(2,4) and B(6,8), find the slope and y-intercept of the line AB.

Answer

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Answer

To find the y-intercept (b), we use the formula b=y−mx, where m is the slope and (x, y) is a point on the line. Substituting the slope and the coordinates of point A, we get b=4−1∗2=2.

Steps

Step 1 ：To find the slope (m) of the line AB, we use the formula m=y2−y1x2−x1, where (x1,y1) and (x2,y2) are the coordinates of the two points. Substituting the given coordinates, we get m=8−46−2=1.

Step 2 ：To find the y-intercept (b), we use the formula b=y−mx, where m is the slope and (x, y) is a point on the line. Substituting the slope and the coordinates of point A, we get b=4−1∗2=2.

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