Question

How do you find the important points to graph `y = x - 3 + 4`?

Answer 1

`"slope= m"=1"`
`"y-intercept"="b"="1"`
`"x-intercept"=-1"`

Explanation:

`y=x-3+4`

Simplify.

`y=x+1`

This equation is in slope-intercept form, `y=mx+b`, where `m` is the slope `+1`, and `b` is the y-intercept `+1`. The y-intercept is the value of `y` when `x=0`.

The point is `(0,1)`.

The x-intercept is the value of `x` when `y=0`. Substitute `0` for `y` and solve for `x`.

`0=x+1`

`-1=x`

Switch sides.

`x=-1` is the x-intercept.

The point is `(-1,0)`

Plot the points for the x-intercept and the y-intercept and draw a straight line through the points.

graph{y=x+1 [-10, 10, -5, 5]}