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

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

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Answer 1 · 2018-03-12T11:53:42

See a solution process below:

Explanation:

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

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

$y = m x - 3$ $y = color(red)(m)x - color(blue)(3)$

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

Therefore:

The slope is: $m = 1$ $color(red)(m = 1)$
The $y$ $y$ -intercept is: $b = - 3$ $color(blue)(b = -3)$ or $(0, - 3)$ $(0, color(blue)(-3))$

Answer 2 · 2018-03-12T11:55:24

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

Explanation:

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

slope $= 1$ $=1$

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

y-intercept $= - 3$ $=-3$

There you go!

Answer 3 · 2018-03-12T12:00:36

$y = x - 3 \Rightarrow \frac{d y}{d x} =$ $y=x-3=>(dy)/(dx)=$ 1=>slope, $m = 1$ $m=1$
Take, $x = 0 \Rightarrow y = 0 - 3 \Rightarrow y = - 3 =$ $x=0=>y=0-3=>y=-3=$ Y-intercept

Explanation:

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

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

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