# How do you graph using slope and intercept of -8x - 10y = 24?

Nov 21, 2015

See explanation

#### Explanation:

The graph consists of 2 axis. One for the x-axis and one for the y-axis. So you need to express one in terms of the other. The convention is to express y in terms of x. So your target is to have only one y on the left of = and everything else on the other.

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$\textcolor{b l u e}{\text{To isolate the y-term}}$

Add $8 x$ to both sides

$\textcolor{b r o w n}{\left(- 8 x - 10 y\right)} \textcolor{b l u e}{+ 8 x} \textcolor{b r o w n}{= \left(24\right)} \textcolor{b l u e}{+ 8 x}$

$\textcolor{g r e e n}{\text{The purpose of the brackets is only to show what is being}}$
$\textcolor{g r e e n}{\text{altered or to group things to make what is happening clearer}}$

color(brown)((color(blue)(+8x)-8x) -10y = color(blue)(8x)+24

but $8 x - 8 x = 0$ giving

$0 - 10 y = 8 x + 24$

Multiply everything by (-1) to make $- 10 y \text{ into } + 10 y$

10y=-8x-24#

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$\textcolor{b l u e}{\text{To isolate y}}$

Divide both sides by 10 giving:

$y = - \frac{8}{10} x - \frac{24}{10}$

And there you are! All you need to do now is make a list of values for x, substitute that value into the equation to obtain its relevant value of y. Plot these on the graph and you have completed the task!!