Question

1. Change the standard form equation into slope intercept form, then name the slope and the y- intercept.

2x-3y=12

2. What is the slope of the line represented by the equation
Y=(2/3)x-4?

A. 4
B. 2/3
C. -4
D. -2/3

Answer 1

11.slope intercept form:

y=2/3x-4

2. slope;

2/3

Explanation:

1. make y the subject

2. =mx+c

m is the slope therefore 2/3 is the slope

Answer 2

see explanation

Explanation:

The equation of a line in slope- intercept form is

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

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

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

with slope m =
`(2)/(3)` and y- intercept c = - 4

2

The line y =
`(2)/(3)` x - 4

has slope m =
`(2)/(3)` → B