Question

A line has slope 2/3 and y intercept -2. Which answer is the equation of the line?

Answer 1

A. y= 2/3x-2

Explanation:

The slope of a line is written in slope-intercept form, which is:

y= mx+b

where m is the slope and b is the y-intercept.

The line has a slope of 2/3 and a y-intercept of -2. Therefore,

m= 2/3

b= -2

Substitute these values into the slope intercept form.

y= mx+b

y=2/3x+(-2)

Adding a negative number (+-) can be simplified to just a negative(-)

y= 2/3x-2

Therefore, the equation of the line is A. y= 2/3x-2

Answer 2

y=2/3x-2

Explanation:

All of the given options are in slope intercept form.

Slope intercept form is y=mx+b

This is where m is the slope fo the line and b is the y intercept

That said, we can simply plug the given values into the form.

y=(2/3)x+(-2)

Simplify

y=2/3x-2