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hjlf
3 years ago
11

Write the point- slope form of the equation of the line through the given point with the given slope

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

y=mx+b

y=-1x-4

y=2x+4

Step-by-step explanation:

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write an equation of a line that is perpendicular to the given line and that passes through the given point (4,-6); m=3/5
tresset_1 [31]

Answer:

y=-\frac{5}{3} x-\frac{42}{5}

Step-by-step explanation:

Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.

y-y1=m(x-x1)\\y-(-6)=\frac{3}{5} (x-4)\\y+6=\frac{3}{5} x-\frac{12}{5} \\y=\frac{3}{5} x-\frac{42}{5}

Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.

To find the 'opposite,' change your slope's sign. Since your slope is positive \frac{3}{5}, the opposite is -\frac{3}{5}.

To find the 'reciprocal,' flip your fraction. This will make your slope -\frac{5}{3}.

Your final equation is:

y=-\frac{5}{3} x-\frac{42}{5}

7 0
3 years ago
Can you answer this for me?
zvonat [6]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Factor 200 into its prime factors

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