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

Answer:

The coordinates of the x-intercept is:

                     $(\dfrac{A}{B},0)$

Step-by-step 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:

$Bx=A\\\\i.e.\\\\x=\dfrac{A}{B}$

Hence, the coordinate of the x-intercept is:

               $(\dfrac{A}{B},0)$

Answer 2

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