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professor190 [17]
3 years ago
15

What is the equation of the line that passes through (2, -7) and (-1, 2)?

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Answer:

y = -3x - 1

Step-by-step explanation:

The slope intercept form of the equation of a line is:

y = mx + b

where m is the slope, and b is the y-intercept.

First, we find the slope of the line using the two given points.

m = slope = (y2 - y1)/(x2 - x1) = (2 - (-7))/(-1 - 2) = (2 + 7)/(-3) = 9/(-3) = -3

Now we plug in the slope we found into the equation above.

y = -3x + b

We need to find the value of b, the y-intercept. We use the coordinates of one of the given points for x and y, and we solve for b. Let's use point (2, -7), so x = 2, and y = -7.

y = -3x + b

-7 = -3(2) + b

-7 = -6 + b

Add 6 to both sides.

-1 = b

Now we plug in -1 for b.

y = -3x - 1

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Put together, Tom and his father away 280 pounds. Tom’s dad weighs three times as much as he does. How much does Tom weigh?
vovangra [49]

Answer:

Tom weighs 70 pounds

Step-by-step explanation:

first, you have to set up your equation which would be, x + 3x = 280.

The x stands for Tom's weight and the 3x stands for three times Tom's weight for the dad. You would then add your like terms, then divide by 4 to get 70.

x + 3x = 280

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Hope this helps!

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3 years ago
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6 0
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Please let me know if these are correct as soon as possible! 20 Points!
ss7ja [257]

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1. the correct  answer is no

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Graded Assignment
san4es73 [151]

Answer:

1.) Amount of potting soil purchased last week.

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Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

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