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3 years ago

15

A line having a slope of 3/4 passes through the point (-8,4). Write the equation of this line in slope-intercept form.

1 answer:

anastassius [24]3 years ago

4 0

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\
a-slope\ \ \ a=\frac{3}{4}\\\\
y=\frac{3}{4}x+b\\\\Substitude\ point\ (-8,4)\\\\
4=\frac{3}{4}*(-8)+b\\\\
4=-\frac{24}{4}+b\ \ \ |Add\ -\frac{24}{4}\\\\
4+\frac{24}{4}=b\\\\
b=4+6=b\\\\
b=10\\\\
\textbf{Formula\ for\ line:}y=\frac{3}{4}x+10$

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sesenic [268]

Step-by-step explanation:

Hey there!!

You can simply use midpoint formulae to find midpoint of the coordinates.

Here, Given that;

G(3,3) and H(-7,7).

Using midpoint formulae,

$midpoint \: of \: gh = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2}$ )

$midpoint \: of \: gh = (\frac{3 - 7}{2} ,\frac{3 + 7}{2}$ )

After simplifying it we get,

= (-2,5).

Therefore, midpoint of GH is M(-2,5).

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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