Question

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

Answer 1

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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`color(blue)("To isolate the y-term")`

Add `8x` to both sides

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

`color(green)("The purpose of the brackets is only to show what is being")`
`color(green)("altered or to group things to make what is happening clearer")`

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

but `8x-8x=0` giving

`0-10y =8x+24`

Multiply everything by (-1) to make `-10y " into "+10y`

10y=-8x-24#

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`color(blue)("To isolate y")`

Divide both sides by 10 giving:

`y= -8/10x -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!!