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4vir4ik [10]
3 years ago
13

20y-10x=5 in slope intercept form can you explain the steps

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Given:

The equation is

20y-10x+5

To find:

The slope intercept form of the given equation.

Solution:

The slope intercept form of a linear equation is

y=mx+b

Where, m is slope and b is the y-intercept.

We have,

20y-10x=5

We need to isolate y. Add 10x on both sides.

20y-10x+10x=5+10x

20y=5+10x

Divide both sides by 20.

\dfrac{20y}{20}=\dfrac{5+10x}{20}

y=\dfrac{5}{20}+\dfrac{10x}{20}

y=\dfrac{1}{4}+\dfrac{x}{2}

y=\dfrac{1}{2}x+\dfrac{1}{4}

Therefore, the slope intercept form of the given equation is y=\dfrac{1}{2}x+\dfrac{1}{4}.

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