Mathematics: Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.

Write an equation in Standard Form of the line

Ответ:

phaalexander

03.02.2022

Mathematics

The answer is

$y = - \frac{2}{5} x - 2 \\$

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y - y_1 = m(x - x_1)

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is

$y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4$

We have the final answer as

$y = - \frac{2}{5} x - 2 \\$

Hope this helps you

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Ответ:

southerntouch103

29.05.2021

Mathematics

Multiply the second equation by 3
-4x+9y=9
3x-9y=-18
add the equations together
-x=-9 Simplify
x=9
now plug in your x value
(9)-3y=-6 Simplify
-3y=-6-9
-3y=-15
y=5

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Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.

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