Question

Consider the graph of Bx + Cy = A where A, B, and C are all positive constants. Find the coordinates of the x-intercept. Use upper case letters.

Answer 1

that is where the line crosses the x axis or where y=0
set y=0
Bx=A
find x value
divie both sides by B
x=A/B
the x intercept is x=A/B

Answer 2

The coordinates of the x-intercept is:

`((A)/(B),0)`

Explanation:

The x-intercept of a graph are the points where the graph intersects the x-axis i.e. the points where the y-coordinate is equal to 0.

Here we have the equation of line as:

`Bx+Cy=A`

Now, when y=0 we have:

`Bx=A\\\\i.e.\\\\x=(A)/(B)`

Hence, the coordinate of the x-intercept is:

`((A)/(B),0)`