Question

Which is an equation of the line containing the points (2,5) and (4,4) in standard form?

A.) -2x + 5y = 12

B.)2x + y = 12

C.)x + 2y = 12

D.)-x + 2y = 8

Answer 1

First, find the slope of the line thru these 2 pts:

5-4
m = --------- = -1/2
2 -4

Use the slope-intercept formula y = mx + b:

5 = (-1/2)(2) + b. Then the y-intercept is 5 + 1, or 6: y = (-1/2)x + 6

Multiplying this entire result (3 terms) by 2 results in 2y = -x + 12, or

x + 2y = 12 (answer)