Hunterburgess319idn
Answered

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Please Help I am going INSANE!
A line passes through the point (-4,9) and has a slope of 3/2.
Write an equation in slope-intercept form for this line.

Sagot :

Amysun2025idn

Answer:

y=3/2x+15

Step-by-step explanation:

Hi there!

We are given that a line passes through the point (-4,9) and has a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is  y=mx+b, where m is the slope and b is the y intercept

Since we are given the slope of the line already (3/2), we can plug it in as m into the equation.

y=3/2x+b

Now we must solve for b

As the equation passes through the point (-4, 9), it means that the point is a solution to the equation, meaning that it will result in a true statement when you plug its values into the equation

So let's plug the -4 as x and 9 as y into the equation

9=3/2(-4)+b
Multiply

9=-6+b
Add 6 to both sides

15=b
Substitute 15 as b into the equation

y=3/2x+15

Hope this helps!

Here is a link to a similar problem if you would like more practice: https://brainly.com/question/25508767

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