Question #dff70

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Question #dff70

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Answer 1 · 2017-01-24T02:06:49

Solve the equation for $y$ $y$ .

Explanation:

$- 4 x + 3 y = 21$ $-4x+3y=21$

Add $4 x$ $4x$ to both sides.

$3 y = 4 x + 21$ $3y=4x+21$

Divide both sides by $3$ $3$ .

$y = \frac{4}{3} x + \frac{21}{3}$ $y=4/3x+21/3$

Simplify.

$y = \frac{4}{3} x + 7$ $y=4/3x+7$

Answer 2 · 2017-01-24T02:29:13

We know that slope-intercept form is

$y = m x + c$ $y=mx+c$
where $m$ $m$ is slope and $c$ $c$ is intercept on $y$ $y$ -axis.

Let us convert given equation $- 4 x + 3 y = 21$ $-4x+3y=21$ in the above form by keeping $y$ $y$ term on LHS and all taking remaining terms to RHS.
$\Rightarrow 3 y = 4 x + 21$ $=>3y=4x+21$
Dividing both sides by $3$ $3$ , we get

$\frac{3 y}{3} = \frac{4 x + 21}{3}$ $(3y)/3=(4x+21)/3$
$y = \frac{4}{3} x + 7$ $y=4/3x+7$
is the required form.

If we plot this equation with inbuilt graphic tool we get the following:

Slope $=(Deltay)/(Deltax)=7/5.25=7/5.25xx4/4=28/21=4/3$
Intercept on $y$ axis $=7$

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Question #dff70

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