How do you identify the slope for $x - 2 y = 4$ $x - 2y = 4$ ?

Question

How do you identify the slope for $x - 2 y = 4$ $x - 2y = 4$ ?

1 Answer

Impact of this question

5275 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-07T07:37:38

Let's remember the general linear equation of $y = m x + c$ $y=mx+c$
We have to arrange $x - 2 y = 4$ $x-2y=4$ into the form of $y = m x + c$ $y=mx+c$

$x - 2 y = 4$ $x-2y=4$
$- 2 y = - x + 4$ $-2y=-x+4$

We have to ensure that the coefficient of y is 1 to get linear equation.

$- 2 y = - x + 4$ $-2y=-x+4$ From here, we divide the whole equation by -2

$\frac{- 2 y}{- 2} = \frac{- x + 4}{- 2}$ $(-2y)/-2=(-x+4)/-2$
$y = \frac{1}{2} x - 2$ $y=1/2x-2$

Let's refer to the general linear equation: $y = m x + c$ $y=mx+c$ where $m$ $m$ is the slope of a line.
$y = \frac{1}{2} x - 2$ $y=1/2x-2$
From here, we can see that $\frac{1}{2}$ $1/2$ is in the place of $m$ $m$ as the slope.
Thus, $m = \frac{1}{2}$ $m=1/2$

Science

Math

Humanities

... and beyond

How do you identify the slope for $x - 2 y = 4$ $x - 2y = 4$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you identify the slope for x - 2y = 4x−2y=4x - 2y = 4?

1 Answer

Related questions

Impact of this question

How do you identify the slope for $x - 2 y = 4$ $x - 2y = 4$ ?