What is the slope-intercept form of $13 x + 2 y = 12$ $13x+2y=12$ ?

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What is the slope-intercept form of $13 x + 2 y = 12$ $13x+2y=12$ ?

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Answer 1 · 2015-12-30T12:12:43

The equation of a line represented in the form $y = m x + b$ $y=mx+b$ is known as the slope-intercept form. Step by step working is shown to get the solution.

Explanation:

The given equation is $13 x + 2 y = 12$ $13x+2y=12$
To get this into the form $y = m x + b$ $y=mx+b$
$m$ $m$ is the slope and $b$ $b$ is the $y$ $y$ -intercept.

Solve the given equation for $y$ $y$ and we would get what we wanted.

$13 x + 2 y = 12$ $13x+2y=12$
Subtract $13 x$ $13x$ from both the sides. This is done to get $y$ $y$ term all alone on the left side of the equation.

$13 x + 2 y - 13 x = 12 - 13 x$ $13x+2y-13x=12-13x$
$2 y = 12 - 13 x$ $2y=12-13x$

We still have a $2$ $2$ which is multiplied with $y$ $y$ and we want $y$ $y$ isolated. For this, we shall use the opposite operation of multiplication which is division.

The next step is to divide both sides by $2$ $2$

$\frac{2 y}{2} = \frac{12}{2} - \frac{13 x}{2}$ $(2y)/2=12/2-(13x)/2$

$y = 6 - \frac{13}{2} x$ $y = 6 - 13/2x$

Let us rewrite this in the form $y = m x + b$ $y=mx+b$

$y = - \frac{13}{2} x + 6$ $y=-13/2x + 6$ This is the slope-intercept form of the line.

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What is the slope-intercept form of $13 x + 2 y = 12$ $13x+2y=12$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

What is the slope-intercept form of 13x+2y=1213x+2y=12 ?

1 Answer

Explanation:

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What is the slope-intercept form of $13 x + 2 y = 12$ $13x+2y=12$ ?