Question

How do you sketch the graph represented by `-5x+2y=6`?

Answer 1

See explanation

Explanation:

This is a straight line graph

Given:`-5x+2y=6`

It needs to be changed to the form `y=mx+c`

Add 5x to both sides

`2y=5x+6`

divide both sides by 2

`y=5/2 x+3`

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`color(blue)("Determine "y_("intercept"))`

The `y_("intercept")` occurs at `x=0`

so we have `y_("intercept")=5/2(0)+3`

`color(blue)(=>y_("intercept")=3)`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Determine "x_("intercept"))`

The `x_("intercept")` occurs at `y=0`

`=>0=5/2 x_("intercept")+3`

`=> 5/2x_("intercept")=- 3`

`color(blue)(=> x_("intercept")=-3xx2/5 = 6/5)`
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Mark you two points and as neatly as you can draw a straight line through them. Extend the line in both directions to the end of the scales.