Question

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

Answer 1

Answer:

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

Step-by-step explanation:

I took the test its is correct.

Answer 2

Answer:

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

Step-by-step 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

$y=\frac{2}{3}x-4$

$y=-\frac{3}{5}x+2$ ----> 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