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what is the equation of the line slope intercenpt form that passes through the point (8,9) and is parallel to the graph of y=3/4x-2? please explain.

User Aniket Jha
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2 Answers

5 votes
The answer on top is correct I second that
User TheNeil
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5 votes

Answer:

Slope-intercept form is y= 4x - 30

Explanation:

Step 1: Substitute the slope from original line into the equation of the line

Here slope , m is 4

y= mx +b

where m is the slope

b is the y intercept

So Substituting slope we get,

y= 4x +b--------------------------------------------(1)

Step 2 :Substitute the given point (8,2) into the x and y values of equation (1)

y = 4x +b

2 =4(8) + b

Step 3: Solve for y intercept values

2 = 32+ b

2-32 =b

-30 =b

Now the y intercept value b= -30

Step 3: Substitute this value for 'b' in the slope intercept form equation

Substituting the value in eq (1) we get,

y= 4x +(-30)

y= 4x - 30

hope this helps!

User Jake Tae
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