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2 years ago

How do you answer this math question? #7 btw

Mathematics

1 answer:

NISA [10]2 years ago

3 0

Answer:

Step-by-step explanation:

its easiest to just plug in numbers and see if it works. for this specific equation, we are given 2- (x-1)/(x+2). if we just substitute x with any number, i'll use 2, then we get:

2- (2-1)/(2+2)

2- 1/4

= 1.75

after finding that, use 2 to plug it into the 4 answers left, and see which one equals 1.75, in this case, #2

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

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(3, 4)

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$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

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Thus, the slope of the line is:

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substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

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subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

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$y = mx+b$

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Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

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Step-by-step explanation:

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Read 2 more answers

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·_21.21
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