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Helen [10]
3 years ago
11

What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

y - y_1 = m[x - x_1]

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

I am joyous to assist you anytime.

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(1): "^-5" was replaced by "^(-5)". 3 more similar replacement(s)

STEP

1

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Equation at the end of step 1

                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•((2•5b(-5))•c)

                     ((15•(b3))•(c4))

STEP

2

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Equation at the end of step

2

:

                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)

                       ((3•5b3)•c4)  

STEP

3

:

Equation at the end of step

3

:

                    (52b(-1)•c(-3))

 (((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)

                       (3•5b3c4)  

STEP

4

:

           52b(-1)c(-3)

Simplify   ————————————

            (3•5b3c4)  

Dividing exponential expressions :

4.1    b(-1) divided by b3 = b((-1) - 3) = b(-4) = 1/b4

Dividing exponential expressions :

4.2    c(-3) divided by c4 = c((-3) - 4) = c(-7) = 1/c7

Dividing exponents:

4.3    52   divided by   51   = 5(2 - 1) = 51 = 5

Equation at the end of step

4

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                      5  

 (((12•(b4))•(c-6))•—————)•(2•5b(-5)c)

                    3b4c7

STEP

5

:

Equation at the end of step

5

:

                         5  

 (((22•3b4) • c(-6)) • —————) • (2•5b(-5)c)

                       3b4c7

STEP

6

:

Canceling Out :

6.1    Canceling out b4 as it appears on both sides of the fraction line

Dividing exponential expressions :

6.2    c(-6) divided by c7 = c((-6) - 7) = c(-13) = 1/c13

Canceling Out:

6.3      Canceling out  3  as it appears on both sides of the fraction line

Equation at the end of step

6

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  20

 ——— • (2•5b(-5)c)

 c13

STEP

7

:

Multiplying exponents:

7.1    22  multiplied by  21   = 2(2 + 1) = 23

Multiplying exponents:

7.2    51  multiplied by  51   = 5(1 + 1) = 52

Dividing exponential expressions :

7.3    c1 divided by c13 = c(1 - 13) = c(-12) = 1/c12

Final result :

  200

 —————

 b5c12 Answer:

Step-by-step explanation:

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