Question

Input the equation of the given line in standard form.

The line including the two points (5, 3), (8, -2)

Answer 1

were you able to get anywhere with this?

Answer 2

I kept getting fractions and i feel as if that is wrong

Answer 3

what did you get for the slope

Answer 4

the slope is a fraction in this case

Answer 5

were you able to get the slope?

Answer 6

(13/2, 1/2)
wrong?

Answer 7

Here's how you find the slope

Answer 8

m = (y2-y1)/(x2-x1)


m = (-2-3)/(8-5)


m = -5/3


So the slope of the line that passes through the two points is -5/3

Answer 9

So you can see that the slope is a fraction (and it's perfectly normal to have a fraction for the slope)

Answer 10

Now turn to y = mx+b form

y = mx+b

y = (-5/3)x + b ... plug in the given slope

3y = -5x + 3b ... multiply every term by the LCD 3

5x + 3y = 3b ... Add 5x to both sides

Answer 11

Since this line goes through (5,3), we can plug in x = 5 and y = 3 to find the value of 3b

5x + 3y = 3b

5(5) + 3(3) = 3b

25 + 9 = 3b

34 = 3b

3b = 34

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So we go from

5x + 3y = 3b

to

5x + 3y = 34

Answer 12

So that's the equation in standard form