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Write the following in standard form.

Write the following in standard form.-example-1
User Pavelety
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2 votes

Answer:


\huge\boxed{3x+y=23}

Explanation:

First off, let's note that when given a slope and a point, we will write our equation in the form
ax+by=c, where a is the slope and c is the y-intercept.

Since we know the slope, but not the y-intercept, we can start to fill in what we already know.


3x+y=c

Therefore to finish this equation, we must find the y-intercept.

Since we know that the point (7, 2) runs through this line, we can plug it into our formula (
3x+y=c) to find the y-intercept, b.

2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.


  • 3(7) + 2 = c

  • 21+2=c

  • 23 = c

This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation (
3x+y=c) as b and finish up the equation for the line.


3x+y=23

Hope this helped!

User Aupr
by
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