Question

A line passes through the points (3,16) and (6,19). Write a linear function rule in terms of x and y for this line.

Answer 1

y=1x+13

Explanation:

First find the slope of the line. Slope is (y2-y1)/(x2-x1). Plug in 19 for y2, 16 for y1, 6 for x2, 3 for x1. So (19-16)/(6-3) is 3/3 or 1. The slope of the line is 1.

take the equation y=mx+b and plug 1 in for the slope (m). Then plug in one set of points. Using (3,16) into y=1x+b, 16=1(3) + b. Solve for b. B is 13. So the linear equation is y=1x+13.