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Pani-rosa [81]
3 years ago
8

What is the equation in point slope form of the line that passes through the points (7,5) and (-4, -1)

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

The point slope form is: (y - 5) = 6/11(x - 7)

Step-by-step explanation:

Giving points are: (7, 5) and (-4, -1)

Find the slope m:

m = (y - y1)/(x - x1)

m = (5 - (-1))/(7 - (-4))

m = 5 + 1/7+ 4

m = 6 / 11 = 6/11

Use the point slope form with point (7, 5) and solve for y:

(y - y1) = (x - x1)

(y - 5) = 6/11(x - 7) - this is the point slope form

y - 5 = 6/11x - 42/11  

y = 6/11x - 42/11 + 5

y = 6/11x - 42/11 + 55/11

y = 6/11x + 13/11 - This is the y intercept form

Proof, use (7, 5):

f(x) = 6/11x + 13/11

f(7) = 6/11(7) + 13/11

= 42/11 + 13/11

= 55/11 = 5, giving (7, 5)

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Answer:

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Step-by-step explanation:

We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ---> 3.4 = 17% × Y

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Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:

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<h3><u>*You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20*</u></h3>
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