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Vesna [10]
3 years ago
9

25 points plz help!!! Calculate the equation of the line through the points (-1, 1), (4, 0), and (24, -4)

Mathematics
1 answer:
Mila [183]3 years ago
6 0
So if the line is linear we can use slope intercept form to find the equation of the points: y=mx+b

To calculate m, the slope we subtract two of the points (I’ll use the first two):

(-1, 1)
(4, 0)

This equals 0-1/4+1, which simplifies to -1/5

So the slope is -1/5 and we can put that into slope intercept form along with a point to get b, the y-intercept.

So, y=-1/5x+b

Now we substitute x and y with a point.

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

So the equation is:
y=-1/5x+4/5

I hope this helps!
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Write an equation of the line that passes through point (-8, – 5) and has the slope m= - 1/4 <br>y=
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Answer:

y= -1/4x + 3

Step-by-step explanation:

y-y1 = m(x-x1)

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We'll then replace the letters with the available figures.

y-[-5] = -1/4 (x-[-8])

We are made to know that minus + minus= plus

Minus + plus= Minus

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minus x plus = minus

Therefore, the mathematical setting of this question becomes,

y+5 = -1/4 (x+8)

Multiply everything in the bracket with the outside value

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The mathematical setting then becomes,

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so, it becomes

y+5 = -1/4x - 2

The equation is supposed to look like this, y= mx + b

Therefore we add +5 to both sides to cancel out

 y+5 = -1/4x - 2

   +5            +5

+5 cancels out +5 which makes the setting,

y= -1/4x - 2 +5 (<em>-2+5 goes around to become 5-2= 3</em>)

The expression now looks like this

<u>y= -1/4x +3 which is the final answer!</u>

<u />y= -1/4x + 3

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Step-by-step explanation:

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Step-by-step explanation:

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