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BabaBlast [244]
3 years ago
7

Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer: y=-2/3x-2/3

Step-by-step explanation:

concept to know: two lines that are perpendicular has opposite reciprocal slopes.

y=-2/3x+b

in order to find b or the y-intercept, we need to plug in a point

3=-2/3(-4)+b

3=8/3+b

b=-2/3

y=-2/3x-2/3

Hope this helps!! :)

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Given the two points what is the slope of the line?<br> (4,2) (10.4)
zlopas [31]

m = \frac{y2-y1}{x2-x1}\\ m=\frac{4-2}{10-4} \\m = \frac{2}{6} \\\\m=\frac{1}{3}

Therefore, the slope of the line is 1/3. In case if you want the equation too.

y=mx+b\\y=\frac{1}{3}x+b\\ 2=\frac{1}{3}(4)+b\\ 2=\frac{4}{3}+b\\ b=-\frac{4}{3}+2\\ b=-\frac{4}{3} +\frac{6}{3}\\ b=\frac{2}{3}

Therefore, the equation is y=1/3x+2/3

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6 0
3 years ago
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Graph each equation y=7x-7<br><img src="https://tex.z-dn.net/?f=y%20%3D%207x%20-%207" id="TexFormula1" title="y = 7x - 7" alt="y
Dafna1 [17]

to graph a LINEar equation, since it's just a straight line, recall, to draw a straight line all you need is two points.

so we can just pick two random "x" values, hmmmmm say x = 0, what's "y"?

y = 7(0)-7 => y = -7....................................... so that gives us the point (0, -7)

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y = 7(2) - 7 => y = 14-7 => y = 7................. so we get the point (2, 7).

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3 years ago
Which expression is equivalent to 36-12x
Vera_Pavlovna [14]

Answer:

(i think this is wh ast your asking for)

x = 3

Step-by-step explanation:

36 - 12x = 0

- 12x = -36

x = 3

7 0
3 years ago
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