Question

A line passes through the point (0-4) and has a slope of 3/2

What is the equation of the line?
A. 3x – 2y = 8
B. 6x+4y=-8
C. 2x+4y=-1
D. 3x – 2y = 8

Answer 1

D

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)/(2)` and c = - 4 , then

y =
`(3)/(2)` x - 4 ← equation in slope- intercept form

Multiply through by 2 to clear the fraction

2y = 3x - 8 ( subtract 2y from both sides )

0 = 3x - 2y - 8 ( add 8 to both sides )

8 = 3x - 2y , that is

3x - 2y = 8 ← in standard form → D

Answer 2

y = 3/2 - 4

A. is the answer

A. 3x – 2y = 8

Explanation:

3x – 2y = 8

-2y =8 - 3x

y = - 4 + 3/2x

y= 3/2x - 4