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3 years ago

Please explain I just started learning this

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

Answer:

x=5

y=7

Step-by-step explanation:

y = x+2 so plug that in the next equation as y

so it be --> 5x+(-4)(x+2)= -3 now use distributive property

(-4 times x)+(-4 times 2)= -4x+-8 replug that back in

5x-4x+-8 = -3 subtract your x

1x = x so ---> x+-8 = -3 now to get rid of -8 we have to add 8 to it

x= -3 but whatever you do to one side u do to the other so u have to add 8 to -3---> so it be x=5

now take that x=5 and plug it in to your first eqaiuton to get y

y=5+2 ---> y =7

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For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

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m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

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So we have:

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So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

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Finally we have:

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In point-slope form we have:

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ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

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2 years ago

Read 2 more answers