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Furkat [3]
3 years ago
13

NEED HELP ASAP PLS

Mathematics
2 answers:
aev [14]3 years ago
7 0
Slope: (6-(-6))/(2-(-4))=12/6=2
y=2x+b
next, find b: 6=2*2+b =>b=2
so the equation is y=2x+2
Arisa [49]3 years ago
6 0

Answer:

y=2x+2

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

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

we have

A(-4,-6)\ B(2,6)

Substitute the values

m=\frac{6+6}{2+4}

m=\frac{12}{6}=2

step 2

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=2

B(2,6)

substitute and solve for b

y=mx+b ------> 6=(2*2)+b

6=4+b

b=2

The equation of the line is equal to

y=2x+2

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\bf ~~~~~~\textit{reflection over the x-axis}\\\\\bullet \textit{ flips it sideways if }  B\textit{ is negative}\\~~~~~~\textit{reflection over the y-axis}\\\\\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}

\bf ~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\\bullet \textit{ vertical shift by }  D\\~~~~~~if\   D\textit{ is negative, downwards}\\\\~~~~~~if\   D\textit{ is positive, upwards}\\\\\bullet \textit{ period of }\frac{2\pi }{  B}

with that template in mind,

\bf y=\stackrel{A}{1}|\stackrel{B}{1}x\stackrel{C}{+1}|\stackrel{D}{-2}

so is really just |x| but shifted some,

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D = -2, vertically downwards by 2 units.

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