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Virty [35]
3 years ago
13

Write an equation in slope intercept form of the line passing through (8,1) and (1,8)

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Answer: y = -x + 9

Step-by-step explanation:

First, to find the slope of the line we will use: (y₂-y₁)/(x₂-x₁)

Using the two points, we get: (8-1)/(1-8)

Simplify it: 7/-7

Finally, the slope is -1

We can now write: y = -x + b

Next we will plug in a point into the equation we have:

(8,1)  -->   1 = -8 + b          Then solve algebraically

b = 9

Then finish the equation:

y = -x + 9

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A rock drops from a height of 60m. how long does it take for it to hit the ground?
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To solve for the time an object takes to hit the ground, the equation

<em>y</em> <em>= y₀ + v₀t + ½gt²</em>, or just <em>0 = y₀ +½gt²</em> since there is no initial velocity and the final y position is 0 (since it is on the ground). Therefore, <em>t = (−2y₀/g)^½.</em>

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3 years ago
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2 years ago
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Read 2 more answers
What is the slope of (-18,-20),(-18, -15)
Rzqust [24]

Answer:

Undefined.

Step-by-step explanation:

m =  \frac{rise}{run}

m =  \frac{ - 15 - ( - 20)}{ - 18 - (  -  18)}  \\ m =  \frac{ - 15 + 20}{ - 18 + 18}  \\ m =  \frac{5}{0}

The denominator is 0. Therefore, the slope is undefined.

4 0
3 years ago
Convert a recipe that serves 6 and calls for 3/4 cups of sugar to one that serves 20.
djyliett [7]

Answer:

5/2cups

Step-by-step explanation:

If a recipe serves 6 and calls for 3/4cups, arecipe that serves 20, will call for (20×3/4)/6 cups. Mathematically;

6recipe = 3/4cups

20recipe = x

Cross multiplying we have;

6x = 20×3/4

6x = 15

x = 15/6

x = 5/2

This means a recipe that serves 20 will call for 5/2cups

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