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Vinil7 [7]
3 years ago
11

What is the equation of this line in slope-intercept form?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Reminder: slope-intercept form is y=mx+b where m is the slope and b is the y intercept

There are two points given on the line: (-1, 2) and (1, -4)

First, find the slope

Reminder: slope is y2-y1/x2-x1

Substituting the numbers into the equation gives -4-(-2)/1-(-1) which would make m=-3

Now that the slope is found, we can use slope point form

Reminder: slope point form is y-y1=m(x-x1)

Substituting the numbers would give this equation:

y-2=-3(x-(-1))

Simplifying the equation would give y=-3x-1.

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If the length of a rectangle is 3m longer than its width, then:
L=W+3
Is the area really 154^2? Or is it 154m^2? If yes, then:
A=LW
154=(W+3)(W)
154=(W^2+3W)
0=W^2+3W-154
0=(W-11)(W+14)
This means either (W-11) or (W+14) is equal to zero so:
W=11 and W=-14
To find out let's substitute the numbers:
154=(11+3)(11)
154=154
Therefore, the width of the rectangle is 11m
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