Question

How do you find the slope and y intercept for `y + 4 = 2x`?

Answer 1

`m=2`

`q=-4`

Explanation:

We need to transform the equation in the form:

`y=mx+q`

where

slope=`m`

and

`y_(nn)=q` (with `y_(nn)` as `y` intercept)

`y+4=2x<=>y=2x-4`

Therefore:

`m=2`

`q=-4`

graph{2x-4 [-3.862, 6.004, -4.428, 0.506]}

Answer 2

Same thing just, presented a bit differently!

`color(blue)("The slope " = " " 2)`
`color(blue)(" " y_("intercept ")=-4)`

Explanation:

Given:`" "y+4=2x`

You could transform this into the standard format of `y = mx+c` but in this case we do not have to do so to determine what we are asked to.

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The y-intercept is when `x=0` This is because the y-axis crosses the x-axis at `x=0`

So we write the equation as: `y+4=2xx0`

But `2xx0 = 0` giving

`color(brown)(y+4=0)`

Subtract`" "color(blue)( 4 )" "`from both sides

`color(brown)(y+4color(blue)(-4)=color(blue)(-4))`

But `4-4 = 0` giving

`color(green)(y+0=-4" so " y_("intercept")=-4)`
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The slope (gradient) is the number in front of `x" ( the coefficient of "x)` which is 2

`color(green)("The slope "=2)`
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