... is xy
Answers (2)
5x + 10y = 30 Add spaces to improve readability.
The x intercept is the x value when y = 0. The y intercept is the y value when x = 0.
5x + 0 = 30
x = 6 <<-- x intercept
0 + 10y = 30
y = 3 <<-- y intercept
I have never seen intercepts presented in a chart like you have there. All you need to do is give the two values as I have done. In most cases you only need one value.
I say again, I have never seen that presentation. I don't know what you are trying to do. If you want to specify the points in the normal fashion that would be (0,3) and (6,0). But I don't understand why you would want to do that.
5x + 10y = 30
In general the coordinate form looks like this:
ax + by = c
If you are looking for the intercept points with the axes of the coordinate system, you can simply transform the equation into the x,y-intercept form, thereby describing the line as comprised of those points, whose coordinates (x, y) satisfy the equation:
x/x0 + y/y0 = 1.
(x0, 0) and (0, y0) are the intercept points with the axes of the coordinate system:
5x + 10y = 30 ;; divide by 5
x + 2y = 6 ;; divide by 2
x/2 + y = 3 ;; divide by 3
x/6 + y/3 = 1.
Now you see immediately the direct way to determine x0 and y0:
x0 = c/a
y0 = c/b
30/5 = 6 -> x-intercept (6, 0)
30/10 = 3 -> y-intercept (0, 3).
thank you! So I write it like this?
X:6,0
Y:0,3