`3x + 2y - 10 = 0` State the slope and y intercept of the graph of each equation.

Textbook Question

Chapter 2, 2.4 - Problem 5 - Glencoe Algebra 2 (1st Edition, McGraw-Hill Education).
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iamtall14's profile pic

iamtall14 | (Level 2) eNoter

Posted on

Hello!

You are given the equation 3x+2y-10=0

As you may recall, the slope intercept form is y=m*x+b, where:

m=slope

b=constant = ?(you have to figure it out!)

  • So all you really have to do is simplify the equation until you get y on the left side and everything else on the right.

3x+2y-10=0

3x+2y=10

2y=10-3x

y=(10-3x)/2

y= 5- 3/2x

y=-3/2x + 5` `

`y=(-3/2)x + 5`

The slope = m = `(-3/2)`

Y intercept = b = 5

Hope this helps!

kspcr111's profile picture

kspcr111 | In Training Educator

Posted on

In general the slope and intercept of y=mx+b is

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

So ,in 

3x+2y-10=0

3x+2y=10

2y=10-3x

Y=-3/2x+5

The above equation the slope is m=-3/2 and b=5 is y intercept

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