Question

What is the best first step to write this linear equation in slope-intercept form?

y - 2/3x = 4

A) The equation is already in slope-intercept form
B) Multiply 3/2 on both sides of the equals sign
C) Add 2/3x on both sides of the equals sign
D) Subtract y on both sides of the equals sign

Answer 1

c add 2/3x on both sides of the equals sign

Answer 2

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

`y = mx+b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have the following equation:

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

To write the equation of the slope-intersection form we must add
`\frac {2} {3} x`to both sides of the equation:

`y- \frac {2} {3} x +\frac {2} {3} x = \frac {2} {3} x+4\\y = \frac {2} {3} x+4`

Answer:

The correct option is option C