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liq [111]
3 years ago
12

InWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

General Equation of a Line

General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\  equation \\ is \\ y=\frac{-8x}{6} + 52

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

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Multiple to list the next five multiples of 3
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Step-by-step explanation:

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A drawing of the Eiffel Tower in Paris used the scale of 2 cm = 5 m. If the height of the tower in the drawing measures 120.4 cm
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Read 2 more answers
What is the equation of the line that is parallel to y =1/5x+4
atroni [7]

Answer:

y=(1/5)x-5

Step-by-step explanation:

The given equation is

y=(1/5)x+4

This is of the form

y=mx+b

which is called the slope-intercept form because

m is the slope

b is the y intercept.

In this case,

m=1/5

b=4

you can see from the chart that this matches the red line.

If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5.  So, now we know that

y=(1/5)x+b

Since the line must go through the point (5,-4), we have

-4=(1/5)(5)+b

-4=1+b

b=-5

So, the desired line is

y=(1/5)x-5

7 0
2 years ago
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