Mathematics: Write an equation in standard form for the line that passes through the given points (5, -3) and (5,6)

y=1/3x + 4Step-by-step explanation: 1/3x Because we do not know how many minutes plus because he starts at 4...

Write an equation in standard form for the line

xXCoryxKenshinXx

06.02.2022

x=5

Step-by-step explanation:

The standard form for equation of the line is $Ax + By = C \\$

We first find the slope of the line:

Slope, m is given by:

${\Delta y\over \Delta x}={y_1-y_2\over x_1-x_2}$

$m={-3-6\over 5-5}={-8\over 0}=\infty$

This means that the slope is undefined.

And that the line is perpendicular to the x-axis and parallel to the y -axis.

Being that the line is parallel to the y-axis it means that the line intersect at no point with the y-axis so our equation is solved as follows:

Pick any point (x,y) along the line and one of the known points, say, (5,6)

So in solving for m,

we find that :

${y_1-y_2\over x_1-x_2}={y-6\over x-5}={-8\over 0}$

Cross multiplication gives us:

0(y-6)=-8(x-5)

-8(x-5)=0

Dividing through by , we get:

x-5=0

x=5

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