Question

What is the slope and intercept of `y=-3x+3`?

Answer 1

See a solution process below:

Explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is: `y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

`y = color(red)(-3)x + color(blue)(3)`

Therefore:

The slope for this line is: `color(red)(m = -3)`

The `y`-intercept for this line is: `color(blue)(b = 3)` or `(0, color(blue)(3))`

Answer 2

`"slope "=-3," y-intercept "=3`

Explanation:

`"the equation of a line in "color(blue)"point-slope form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`y=-3x+3" is in this form"`

`rArrm=-3" and y-intercept "=3`
graph{(y+3x-3)((x-0)^2+(y-3)^2-0.04)=0 [-10, 10, -5, 5]}