Question

What is the slope and y-intercept of this line y = x – 3?

Answer 1

See a solution process below:

Explanation:

This equation 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)(m)x - color(blue)(3)`

`y = color(red)(1)x + color(blue)(-3)`

Therefore:

• The slope is: `color(red)(m = 1)`

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

Answer 2

slope`=1` and y-intercept`=-3`

Explanation:

The slope of a slope-intercept equation is also the coefficient of `x`,

slope`=1`

The y-intercept of a slope-intercept equation is also the constant,

y-intercept`=-3`

There you go!

Answer 3

`y=x-3=>(dy)/(dx)=`1=>slope,`m=1`
Take,`x=0=>y=0-3=>y=-3=`Y-intercept

Explanation:

If the equation of the line is `ax+by+c=0`,then,
slope of line `m=-a/b`and Y-intercept ** `=-c/b`
`y=x-3=>x-y-3=0=>a=1,b=-1,c=-3=>`
slope of line `m=-1/(-1)=1`
Y-intercept ** `=-(-3)/(-1)=-3`