What is the slope of the line with the following equation?

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by , which means that is your answer.

slope = -

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x + 3y = 2 into this form

Subtract 2x from both sides

3y = - 2x + 2 ( divide all terms by 3 )

y = - x + ← in slope- intercept form

with slope m = -

there are infinitely many solutions.