Question

Is it possible for line ax + by = c to lack a y-intercept? To lack an x-intercept? Explain.

Answer 1

we know that

the equation of the line in the standard form is equal to

`ax+by=c`

case a) If the term a is equal to zero

then

`by=c` -----> is the equation of the line parallel to the y-axis

There is no y-intercept

case b) If the term b is equal to zero

then

`ax=c` -----> is the equation of the line parallel to the x-axis

There is no x-intercept

therefore

the answer is

Yes, it is possible

Answer 2

The x and y - intercepts of the equation are the points to which to line crosses the x and y - axes, respectively. For the given equation, it is impossible for it to lack x or y - intercept. Only the horizontal and vertical lines lack one of the intercepts.