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
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 \(c = 5 - 1*3 = 2\)
Step 1 ：First, we find the slope (m) using the formula m = \((y_2 - y_1) / (x_2 - x_1)\). 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 \(c = 5 - 1*3 = 2\)
