SAT College

Find the y-intercept and the slope of the line

9x+3y=6

Write your answers in simplest form.

Answers

Answer 1

Answer:

The slope is [tex]-3[/tex], and the y-intercept is [tex]2[/tex].

Explanation:

Step 1: Recognize the slope-intercept form

The slope-intercept form of an equation is:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept.

Step 2: Arrange the equation into the slope-intercept form

The equation is given as:

[tex]9x+3y=6[/tex]
First of all, let's make [tex]3y[/tex] the subject:

[tex]9x+3y=6\\\\\text{Subtract 9x from both sides:}\\9x+3y-9x=6-9x\\\\\text{Simplify:}\\3y=-9x+6[/tex]

Now, let's make [tex]y[/tex] the subject:

[tex]3y=-9x+6\\\\\text{Divide by 3 on both sides of the equation:}\\\frac{3y}{3}=\frac{-9x}{3}+\frac{6}{3}\\\\\text{Simplify}:\\y=-3x+2[/tex]

Step 3: Identify the slope and y-intercept

The slope-intercept form of the equation is:

[tex]y=-3x+2[/tex]

And the slope-intercept form is:

[tex]y=mx+b[/tex]

So, [tex]m=-3[/tex] and [tex]b=2[/tex].

This means that the slope is [tex]-3[/tex], and the y-intercept is [tex]2[/tex].

Related Questions

Need help with this psychology c

Answers

Answer:

Explanation:

For easy help and understanding of psychology, c refer to psychology b

If Kevin's monthly salary of $4,500 is 72 percent
of Paul's monthly salary, what is Paul's monthly
salary?

Answers

Paul's monthly salary is approximately $6,250.

How to calculate Paul's monthly salary

Using a proportion to find Paul's monthly salary.

Let x be Paul's monthly salary.

Then we can write:

4500 = 0.72x

Dividing both sides by 0.72:

x = 4500 ÷ 0.72

x ≈ 6250

Therefore, Paul's monthly salary is approximately $6,250.

Learn more about proportion at https://brainly.com/question/19994681

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