Question

How do you find the x and y intercepts for `2x+y=5`?

Answer 1

`y_("intercept") = +5 color(white)(.)->(x,y)=( 0,5)`

`x_("intercept")=+5/2 ->(x,y)=(5/2,0)`

color(white)(

Explanation:

Write as: `color(green)(y=-2xcolor(red)(+5))`

`color(red)(y_("intercept") = 5)`
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The plotted line crosses the x-axis at `y=0`

Set `y=0=-2x+5`

Subtract 5 from both sides

`0-5=-2x+5-5`

`-5=-2x`

Divide both sides by -2

`(-5)/(-2)=(-2)/(-2)x`

`+5/2=x_("intercept")`