how are the x-intercept and y-ontercept related to c and d in the line x/c + y/d = 2?

Answer 1

when x = 0, you're on the y axis and y/d = 2, y = 2d.

when y = 0, you're on the x axis and x/c = 2, x = 2c.

Answer 2

By definitions:
The x-intercept of a line is the point at which the line
crosses the x axis. ( i.e. where the y value equals 0 )
x-intercept = ( x, 0 )

The y-intercept of a line is the point at which the line
crosses the y axis. ( i.e. where the x value equals 0 )
y-intercept = ( 0, y )

So, to find the x and y intercepts of the equation x/c + y/d = 2
To find the x-intercept, set y = 0 and solve for x.
x/c + 0/d = 2 => x/c = 2 => x = 2c

To find the y-intercept, set x = 0 and solve for y.
0/c + y/d = 2 => y/d = 2 => y = 2d

Therefore, the x-intercept is (2c,0)
and the y-intercept is (0,2d)