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3 years ago

Write the following equation in slope intercept form: y + 9 = 3(x - 1)

Mathematics

1 answer:

zheka24 [161]3 years ago

4 0

Y=mx+b
Distribute 3 to (x-1), 3x-3
y+9=3x-3
Subtract 9 on both sides
y=3x-12( the answer)

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Answer:

The ordered pair (6,25) is a solution to both

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Step-by-step explanation:

Part 7)

step 1

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{30-15}{9-0}$

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simplify

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Find the equation of the line in slope intercept form

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we have

$m=\frac{5}{3}$

$b=15$

substitute

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step 2

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

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simplify

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we have

$m=-\frac{5}{2}$

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substitute

$y=-\frac{5}{2}x+40$

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both $y=-\frac{5}{2}x+40$ and

$y=\frac{5}{3}x+15$

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