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Finger [1]
3 years ago
7

When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept f

orm?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0
Point slope form is used when we have the information of at least two coordinates that lie on the line

For example:

Given that coordinate (3, 4) and (6, 7) lies on a straight line. 

We work out the equation of the line by substituting the two coordinates into the formula (y - y₁) = m(x - x₁) where (x₁, y₁) could be either (3, 4) and (6, 7).

We would need to use both coordinates to work out the gradient (m) by using the formula:
m= \frac{vertical distance}{horizontal distance} = \frac{y_2-y_1}{x_2-x_1}
----------------------------------------------------------------------------------------------------------------

The slope intercept form is used when we are given enough information to work out the gradient as well as the y-intercept. 

For example:
Given two coordinates (3, 5) and (0, 9)
This information can help to find the gradient and the y-intercept.
The y-intercept would be at 9 because the (0, 9)
We calculate the gradient m
Then substitute into y=mx+c which is the slope intercept form.
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3 years ago
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-BARSIC- [3]

Answer:

Step-by-step explanation:

Part A

xf = xo + vo* t + 1/2 a*t^2                    Subtract xo

xf - xo = 0*t + 1/2 a*t^2                        multiply by 2

2(xf - xo) = at^2                                    divide by t^2

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Part B

Givens

xo =0

vo = 0

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Solution

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120 = 0 + 0 + 1/2 * 10 * t^2            Multiply by 2

120*2 = 10* t^2                  

240 = 10*t^2                                  Divide by 10

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24 = t^2                                          take the square root of both sides.

√24 = √t^2

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3 years ago
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Answer:

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Step-by-step explanation:

brainly.com/question/2574086

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