Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3.
a. Explain why the information Mary was given cannot be correct.
b. If the given point (1, 3) and the given slope are correct, what is the equation for the line? Give the coordinates of another point on the line.
c. If the given points are correct for the line, what is the slope? Write an equation for the line.
a. The information Mary was given cannot be correct because the slope of a line is calculated by finding the difference between the y-coordinates of two points and dividing it by the difference between the x-coordinates of the two points. In this case, the difference between the y-coordinates is 5, and the difference between the x-coordinates is 5, so the slope should be 1, not 3.
b. The equation for the line is y = x + 2. Another point on the line is (2, 4).
c. The slope of the line is 1. The equation for the line is y = x + 3.
So close, and then it messes it up!
for the 2 points (1,3) and (6,-2)
slope = (-2-3)/(6-1) = -5/5 = -1
since the slope is supposed to be 3, as given, this question is flawed.
The equation would be
y-3 = -1(x - 1)
y - 3 = -x + 1
y = -x + 4
Don't know how or where (2,4) comes in, it certainly does not lie on this line
LS = 4
RS = -2 + 4 = 2 ≠ LS