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

What is the equation in point-slope from for the line

Ответ:

kaylarojascliff

09.01.2022

Mathematics

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

Step-by-step explanation:

First, find the rate of change [slope]:

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

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

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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Ответ:

basketking333

01.01.2021

Mathematics

(-4, 1)

Step-by-step explanation:

-x-3=y, therefore x = -y-3

-3x - 8y = 4

Find the value of y

Substitute the x in -3x - 8y = 4 with -y-3

We get

-3(-y-3) - 8y = 4

3y + 9 - 8y = 4

-5y = 4-9

-5y = -5

y = 1

Find the value of x

x = -y-3

x = -1-3

x = -4(-4, 1)

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

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