Question

Find the equation, in standard form, of the line passing through the points (3,-4)?

Find the equation, in standard form, of the line passing through the points (3,-4) and (5,1).

A. 5x+2y=23
B. y= 5/2x -23/2
C. 5x-2y=23
D. 2x-3y=9

is it B?

Answer 1

No, choice B is NOT in standard form (it's in slope-intercept form).

Answer 2

C. 5x - 2y = 23

Answer 3

find the gradient of the line rise/run

m = ( 1 - -4)/(5 - 3)

m = 5/2

the line is in the form

y = 5/2 x + b

substitute either point, say x = 3 and y - 4 to find the value of b, the y-intercept.

Answer 4

Thanks for the medal! :)