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Alina [70]
3 years ago
5

Find the equation in standard form , of the line passing through points (2,-3) and (4,2)

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

The form of linear equation that describes line is:

y=sx+n

First we must calculate the slope.

s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}

Now it looks a bit more like this:

y=\dfrac{5}{2}x+n

All we need now is to put in y and x from one point doesn't matter which. I'll pick A.

The equation now looks like this:

-3=\dfrac{5}{2}\cdot2+n

Solve for n.

-3=5+n \\n=-8

And finally write the equation.

f(x)=\dfrac{5}{2}x-8

Hope this helps.

r3t40

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