Question

Match the set of points to the linear equation for the function.

options for each one: y=1/2x-2, y=2x+1, y=-1/2x+3

Answer 1

(0, 3) & (4, 1): y = -1/2x + 3

(-2, -3) & (2, -1): y = 1/2x -2

(1, 3) & (4, 9) y = 2x + 1

Explanation:

(0, 3) represents the y-intercept of its respective line and since only one line has a y-intercept of 3 (i.e., y = -1/2x + 3), we can eliminate this option.

The easiest way to find which lines the other four points lie on is by finding their slopes using the slope formula.

(-2, -3) & (2, -1):

`(-1-(-3))/(2-(-2))=(-1+3)/(2+2)=(2)/(4)=(1)/(2)`

Since there is only one line with a slope of 1/2, we can also eliminate that option.

The last only line on which the points (1, 3) & (4, 9) can lie is y = 2x + 1