5x-3y=12
Slope=
x-intercept-
y-intercept
2 answers:
<h2>Answer</h2>
Slope = ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
x-intercept = ![\frac{12}{5} =2.4](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B5%7D%20%3D2.4)
y-intercept = -4
<h2>Explanation </h2>
Remember that the equation of a line in general form is: ![Ax+By+C=0](https://tex.z-dn.net/?f=Ax%2BBy%2BC%3D0)
where
![slope=\frac{-A}{B}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7B-A%7D%7BB%7D)
![y-intercept=\frac{-C}{B}](https://tex.z-dn.net/?f=y-intercept%3D%5Cfrac%7B-C%7D%7BB%7D)
Notice that to express our equation,
, in general form, we just need to subtract 12 from both sides of the equation:
![5x-3y=12](https://tex.z-dn.net/?f=5x-3y%3D12)
![5x-3y-12=12-12](https://tex.z-dn.net/?f=5x-3y-12%3D12-12)
![5x-3y-12=0](https://tex.z-dn.net/?f=5x-3y-12%3D0)
Now can infer that
,
, and
. So let's replace the values in our formulas:
![slope=\frac{-A}{B}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7B-A%7D%7BB%7D)
![slope=\frac{-5}{-3}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7B-5%7D%7B-3%7D)
![slope=\frac{5}{3}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7B5%7D%7B3%7D)
![y-intercept=\frac{-C}{B}](https://tex.z-dn.net/?f=y-intercept%3D%5Cfrac%7B-C%7D%7BB%7D)
![y-intercept=\frac{-(-12)}{-3}](https://tex.z-dn.net/?f=y-intercept%3D%5Cfrac%7B-%28-12%29%7D%7B-3%7D)
![y-intercept=\frac{12}{-3}](https://tex.z-dn.net/?f=y-intercept%3D%5Cfrac%7B12%7D%7B-3%7D)
![y-intercept=-4](https://tex.z-dn.net/?f=y-intercept%3D-4)
To find the x-intercept, we just need to replace
with zero in our general or original equation and solve for
:
![5x-3y-12=0](https://tex.z-dn.net/?f=5x-3y-12%3D0)
![5x-3(0)-12=0](https://tex.z-dn.net/?f=5x-3%280%29-12%3D0)
![5x-12=0](https://tex.z-dn.net/?f=5x-12%3D0)
![5x=12](https://tex.z-dn.net/?f=5x%3D12)
![x=\frac{12}{5}=2.4](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B12%7D%7B5%7D%3D2.4)
I think the slope is 5/3, the x intercept is 12/5 ( i am not sure about this one), and the y intercept is -4. Hope this helps, have a good day. c;
You might be interested in
15.12 that's what I think it is
Answer:
√3 is the answer
Step-by-step explanation:
the value of tan60 is √3
9 + - 24
a positive and negative make a negative, so the question is actually
9 - 24 which is -15
Answer:
36 and 20
Step-by-step explanation:
let x = one number
let y = second number
set up system of equations:
x + y = 56
x - y = 16
add the two equations to get: 2x = 72
therefore, x = 36 and y = 20
Answer:
if they are being equaled to each other, then x=7