Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction y = 5 x + 3 y = one-fifth x + StartFraction 3 Over 25 EndFraction y = one-half x + 6

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

A.

B.

C.

D.

B.

Step-by-step explanation:

Given

Equation 1:

Equation 2:

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

Open the bracket

Simplify fraction

Divide through by 2

Re-arrange

The next step is to compare each of option A through D with

A.

is not equal to

We check the next available option

B.

is equal to

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

Convert fraction to decimal

This is not equal to

D.

Convert fraction to decimal

This is not equal to

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

40 x 50 = 2000

step-by-step explanation: