The general form for a line through two points (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
This is better than the slope forms because it works in the no slope case, as does the standard form.
If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.
Here we have
(0 - -5)(y - 0) = (-9 - 0)(x - - 5)
5y = -9(x+5)
5y = -9x - 45
9x + 5y = -45
Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero. I like the constant alone.
Answer: 9x + 5y = -45
Check:
We check each point is on the line
(-5,0)
9(-5) + 5(0) = -45, good
(0, -9)
9(0) + 5(-9) = -45, good again
Assuming you are solving for x...
We can conclude that the equation 36x + 9 equals -1/4.
<h3>
What exactly is an equation?</h3>
- An equation, in its most basic form, is a mathematical statement demonstrating that two mathematical expressions are equal.
- 3x + 5 = 14, for example, is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign.
So,
- 36x + 9
- 36x + 9 = 0
- 36x = -9
- x = -9/36
- x = -1/4
Therefore, we can conclude that the equation 36x + 9 equals -1/4.
Know more about equations here:
brainly.com/question/2972832
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