Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
A.
B.
C.
D.
Answer:
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