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1 year ago

Please answer the two boxes: find the equation of line line form y=mx+c

Mathematics

1 answer:

anygoal [31]1 year ago

8 0

The equation of the line in the form y = mx + b are as follows:

y = -2x + 9

y = 2x - 3

<h3>How to find the equation of a line?</h3>

The equation of a line can be found as follows:

Using the slope intercept form,

y = mx + b

where

m = slope
b = y-intercept

Therefore, let's find the slope using the table.

(-4, 13)(-3, 11)

m = 11 - 13 / -3 + 4

m = - 2 / 1

m = -2

Let's find the y-intercept using (-4, 13)

13 = -2(-2) + b

13 - 4 = b

b = 9

Therefore, the equation of the line is y = -2x + 9

Using the second table,

(0, -3)(2, 1)

m = 1 + 3 / 2 - 0

m = 4 / 2

m = 2

y-intercept = b = -3

Therefore,

the equation of the line is y = 2x - 3

learn more on equation of a line here:brainly.com/question/27665802

#SPJ1

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Solving rational equations<br><br> solve for x: 3/x-4=7/x

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Solving:

$\frac{3}{x-4}=\frac{7}{x}$

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3 years ago

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Therefore, in our case,

$A=(-1,-3),B=(5,2)$

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$\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}$

Therefore, the answer is sqrt(61)

In general,

$-(-n)=n$

Remember that

$-n=(-1)\cdot n$

Therefore,

$\begin{gathered} a-(-n)=a+(-1)(-n)=a+(-1)(-1\cdot n)=a+(-1)^2\cdot n=a+1\cdot n=a+n \\ \Rightarrow a-(-n)=a+n \end{gathered}$

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1 year ago