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3 years ago

For the straight line defined by the points (2,55) and (4, 87), determine the slope (m) and y-intercept?

Mathematics

1 answer:

mamaluj [8]3 years ago

8 0

Answer:

Slope(m) = 16

Y intercept (c) = 23

Step-by-step explanation:

Given:

Points : (x1, y1) = (2, 55)

(x2, y2) = (4, 87)

Using two point form to calculate slope:

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

$m = \frac{87-55}{4-2}$

m = 16

To find y intercept:

Take any one point ans slope :

Using slope point formula:

y = mx + c

87 = 16(4) + c

Solving for c:

c = 23

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Step-by-step explanation:

We are given the following in the question:

Every 4 gallons of green paint is mixed with 3 gallons of blue paint. to make a particular shade.

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Thus, we can write:

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Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

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$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

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If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

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Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

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