Question

A line passes through (3,7) and (5,9). Write the equation of the
line in slope-intercept form.

Answer 1

y = x+4

Explanation:

First, we find the slope

m = (y2-y1)/(x2-x1)

m = ( 9-7)/(5-3)

= 2/2

=1

Slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Using one of the points

7 = 1*3+b

7 = 3+b

4=b

y = x+4