Question

Find the equation of the line that passes through the midpoint of the line segment between P1(2, 4) and P2(−4, 2) and has slope 7. Let y be the dependent variable and let x be the independent variable.

Answer 1

The midpoint of the points is the average of the x-coordinate and y-coordinate. So in this case, the midpoint would be (-1, 3). So equations can be written in the form y=mx+b. Since the slope is 7, the m value is also 7. Substituting the point (-1, 3)  as x and y makes the equation 3=7(-1)+b. So after isolating the b, the value of b is not 10. So the final equation is y=7x+10