Question

Question #e7957

Answer 1

Slope `=-3`
Y-intercept = `=4`
as an ordered pair it would be (-3, 4)

Explanation:

In this equation, the line is linear and so it has the formula `y=mx+b` . The m value is the slope, and so with our equation `y=-3x+4`, the m value is the coefficient directly in front of the x value, and so the slope is -3.

The y-intercept is the y value when the line cuts through the y-axis. We know that the line will always cut through the y-axis at `x=0`, and so in the equation `y=-3x+4`, we set x to 0.

`y=-3x+4`
`y=-3(0)+4`
`y=4`

Answer 2

The slope is `m=-3`
The y-intercept is `(0,4)`

Explanation:

The equation of a line is `y=mx+b`
where the value of the slope `=m`
and the y-intercept `=b`

For the equation `y=4-3x`
we can rearrange the values into the standard form of
`y=mx+b`
`y=-3x+4`

now `m=-3` the slope
and `b = 4` the y-intercept
The line would cros the y-axis at `y=4` and `x=0`
giving the cordinate ordered pair #(0,4)

graph{y=-3x+4 [-10, 10, -5, 5]}