Question

Draw Conclusions Suppose that A and C are real numbers and A is not 0. What are the x- and y-intercepts of the equation Ay = C? Explain.

Answer 1

Horizontal line which goes through the y -axis at the coordinate ( 0, C/A ).

Explanation:

Since A is not 0 then C can not be 0 This is a logical deduction from the given formula Ay = C

The equation of any line is y = ax + b, where a is the incline and b is the intercept between the line and the y- axis.

Ay = C

Divide left and right of the = sign by A and you get:

y = C/A

This is the formula for a horizontal line which goes through the y -axis at the coordinate ( 0, C/A ).

Because it is a horizontal line it has an incline of 0.

So a = 0

y = ax + b

a = 0 and b = C/A

y = 0*x + C/A

y = 0 + C/A

y = C/A