Question

The line m has a slope of 3/4 and passes through the point (-2, 1). Show that the point (82, 63) does or does not

lie on line m. Justify your answer.

Answer 1

Answer: It does not lie on the line m.

Explanation:

First using the slope and the point find an equation in slope intercept form and plot in the coordinates (82,63) to see if it fits. If it fits then it lies on line m and if doesn't then it doesn't like on line M.

The slope intercept formula is y = mx +b where m is the slope and b is the y-intercept, so we need to use the coordinates (-2,1) to find the y-intercept.

Plot the coordinates and the slope into the formula to solve for b.

1 = 3/4(-2) + b

1 = -6/4 + b

+6/4 +6/4

b = 10/4

y = 3/4x + 10/4

63 = 3/4(82) + 10/4

63 = 64