Question

Which of the following equations is of a line whose slope is 3/4 and y-intercept is 6?

A.3x-4y=-6
B.3x-4y=6
C.3x-4y=-24

Answer 1

C

Explanation:

Answer 2

C

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m =
`(3)/(4)` and c = 6, hence

y =
`(3)/(4)` x + 6 ← in slope- intercept form

multiply through by 4

4y = 3x + 24 ( subtract 4y from both sides )

0 = 3x - 4y + 24 ( subtract 24 from both sides )

- 24 = 3x - 4y , that is

3x - 4y = - 24 ← in standard form