Find the equation of the line through the points

Question

Find the equation of the line through the points (-1,0) and (1,1) using point-slope form. Then rewrite the equation in slope-intercept form.

Answer 1

(-1,0) and (1,1) have a line with slope = (1-0)/(1--1)=1/2

the equation of the line is

y-0 = (1/2)(x- -1)

in point slope form

or

y = (1/2)(x+1)

or

y = (1/2)x + 1/2 in slope intercept form, y intercept = 1/2

It might help to plot the two points and graph the line, connect the two points with a straight line fragment.

use a graphing calculator, which should show the y intercept as 1/2 or nearly 1/2