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3 years ago

Help please !!!

Mathematics

1 answer:

dybincka [34]3 years ago

4 0

The equation for this line would be y=2x-4

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3 years ago

What's the answer to 9x+2y=49

STatiana [176]

x= 49/9 − 2y/9

Step-by-step explanation:

Move all terms that dont contain x to the right side and solve. (I solved for x i hope thats what you needed. Next time be a little more detailed. (: )

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3 years ago

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Oduvanchick [21]

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Step-by-step explanation:

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3 years ago

Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?

Bond [772]

Answer:

An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

$y=-\frac{1}{5}x+\frac{13}{5}$

Step-by-step explanation:

Given the equation

$5x - y = 12$

converting the line into the slope-intercept form y = mx+b, where m is the slope

$-y = 12-5x$

$y = 5x-12$

The slope of the line = m = 5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

Therefore, the slope of new line = – 1/m = -1/5 = -1/5

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the slope of new line = -1/5 and (-2, 3)

$y-y_1=m\left(x-x_1\right)$

$y-3=-\frac{1}{5}\left(x-\left(-2\right)\right)$

$y-3=-\frac{1}{5}\left(x+2\right)$

Add 3 to both sides

$y-3+3=-\frac{1}{5}\left(x+2\right)+3$

$y=-\frac{1}{5}x+\frac{13}{5}$

Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

$y=-\frac{1}{5}x+\frac{13}{5}$

5 0

3 years ago