Question

I need help with 3 simple Pre-Calculous questions! (its actually the beginning of pre-cal so you only really need algebra knowledge)

1. Does every line have both an x-intercept and a y-intercept? Explain.

2. Does every line have an infinite number of lines that are parallel to the given line? Explain.

3. Does every line have an infinite number of lines that are perpendicular to the given line? Explain.

Answer 1

I'm not 100% sure about the first one, but my guess would be "no." However I can't explain why because i'm not entirely sure.

I know for a fact the answer to the second one. That's so easy! but how do i explain something so simple!?

Answer 2

if you are talking about linear equations, every line will have an x- and y-int.

i think that there can infinite number of parallel lines to the given line.

and there might be an infinite number of perpendicular lines as well. you can make a perpendicular line anywhere in a line because it will go for an infinite space in both directions.

(i have never studied calculus before, but i am just using my prior knowledge.)

Answer 3

Look at the drawing above.
Which lines have both x- and y-intercepts?
Which line has only an x-intercept?
Which line has only a y-intercept?

Answer 4

So the pictures with positive and negative slopes, both have an x and a y- intercept.

The picture with the slope as zero only has a y- intercept and the last one has just the x- intercept, right?