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Write the equation of the line in fully simplified slope intercept form.

Write the equation of the line in fully simplified slope intercept form.-example-1
User Guerrilla
by
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1 Answer

5 votes

Final Answer:

y = 3/4x + 7

In-depth explanation:

Hi! This question is asking us to write the equation of the line in fully simplified slope intercept form.

Given

  • Two points on the graph (-8,1) and (-4,4)

_____________

Solving for:

  • The line's slope

______________

SLOPE FORMULA


\boxed{\bf{m=(y_2-y_1)/(x_2-x_1)}}

______________

Plug in the data


\bf{m=(4-1)/(-4-(-8))}


\bf{m=(3)/(-4+8)}


\bf{m=(3)/(4)}

_____________

Y-INTERCEPT

The equation of the line is,
\sf{y=(3)/(4)x+b}.

We need to find b, so we take a point & plug its coordinates into the equation. I take (-4,4).


\bf{4=(3)/(4)*(-4)+b}


\bf{4=-3+b}


\bf{4+3=b}


\bf{7=b}

∴ Equation: y = 3/4x + 7

User Nlogn
by
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