Problem in algebra

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SamanthaTyro

Asked: March 30, 20212021-03-30T10:02:08+00:00 2021-03-30T10:02:08+00:00In: Middle School/Junior Secondary School

Problem in algebra

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Find the slope of the line 4x – 3y = 8

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acedstud · Accepted Answer · 2021-03-30T11:41:48+00:00

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acedstud

2021-03-30T11:41:48+00:00Added an answer on March 30, 2021 at 11:41 am

To find the slope of a line from the equation, we first make $y$ the subject of the equation. Then, the coefficient of $x$ after making $y$ the subject is the slope.

Thus, given $4x - 3y = 8$

Subtracting $4x$ from both sides gives $-3y = 8 - 4x$ .

And dividing through by -3 gives $\dfrac{-3y}{-3}=\dfrac{8}{-3}-\dfrac{4x}{-3}\Rightarrow y=-\dfrac{8}{3}+\dfrac{4}{3}x$

Therefore, the slope of the line is $\dfrac{4}{3}$ .

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