Problem

Given a linear equation in the form y = mx + c, where m is the slope and c is the constant. If a line passes through the points (3,5) and (2,4) with a slope of 1, find the value of the constant c.

Answer

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Answer

In case of correct slope, we could use the formula c = y - mx to find the constant. Substitute the values from one of the points, for example (3,5), we would get c=5−1∗3=2

Steps

Step 1 ：First, we find the slope (m) using the formula m = (y2−y1)/(x2−x1). Substituting the given points (3,5) and (2,4) we get m=(4−5)/(2−3)=−1

Step 2 ：Since the given slope is 1, and we found that m = -1, it contradicts the given information. Therefore, there's an error in the problem statement.

Step 3 ：In case of correct slope, we could use the formula c = y - mx to find the constant. Substitute the values from one of the points, for example (3,5), we would get c=5−1∗3=2

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