Question

Dominique needs to solve the system of equations by graphing. Which statement is true about the system?

2x-3y=12
y=-3/5x+2

A)Both equations are in slope-intercept form.
B)Neither equation is in slope-intercept form.
C)The first equation is y= 2/3x-4 when written in slope-intercept form.
D)The second equation is 3x+5y=10 when written in slope-intercept form.

Answer 1

C, The first equation is y= 2/3x-4 when written in slope-intercept form

Explanation:

I took the test its is correct.

Answer 2

Option C) The first equation is y= 2/3x-4 when written in slope-intercept form

Explanation:

we have

`2x-3y=12` ----> First equation

The first equation is in standard form

Convert to slope intercept form

Isolate the variable y

`3y=2x-12`

Divide by 3 both sides

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

`y=-(3)/(5)x+2` ----> Second equation

The second equation is in slope intercept form

Convert to standard form

Multiply by 5 both sides to remove the fraction

`5y=-3x+10`

`3x+5y=10`

Verify each statement

case A) Both equations are in slope-intercept form.

False

Because only the second equation is in slope -intercept form

case B) Neither equation is in slope-intercept form

False

Because, the second equation is in slope -intercept form

case C) The first equation is y= 2/3x-4 when written in slope-intercept form

True (see the procedure)

case D)The second equation is 3x+5y=10 when written in slope-intercept form.

False

Because, the second equation is 3x+5y=10 when written in standard form