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erma4kov [3.2K]
3 years ago
8

Write an equation in slope-intercept form of the line that passes through (7, 2) and (2, 12)

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope, b is the y-intercept (when x=0).

the slope is the ratio y/x indicating how much y changes, when x changes for a certain amount of units when going from one point to another.

going from (7, 2) to (2, 12) :

x changes by -5 (from 7 to 2), y changes by +10 (from 2 to 12).

so, the slope is 10/-5 = -2

therefore, we have already

y = -2x + b

we get b by using the coordinates of one of the points as x and y. e.g. (7, 2)

2 = -2×7 + b = -14 + b

16 = b

so, the full line equation is

y = -2x + 16

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SpyIntel [72]

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3 years ago
Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C
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Answer:

Solution : -\frac{3}{4}-\frac{3}{4}i

Step-by-step explanation:

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Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

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3 0
3 years ago
There are 20,000 members of a zoo. The percent of
schepotkina [342]

1500 members have a contributor  membership.

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<u>Step-by-step explanation:</u>

There are 20,000 members of a zoo.

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From the graph shown,

7.5% of the members have a contributor  membership.

<u>To find the number of members who have contributor  membership :</u>

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3 0
3 years ago
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