Geometry Quiz Unit 1

Question

Find the equation of the line through (2,3) and (4,9).

Answer 1

First, calculate the slope.

m=(9-3)/(4-2) = 3

the form of a line in slope-intercept form is y=mx+b, and m=3

Therefore, y=3x+b

use the point (2.3) to find b.

3=3(2)+b

3=6+b

3-6=b

-3=b

Therefore, the equation of the line in slope-intercept form is y=3x-3