Question

Consider the statements about the properties of two lines and their intersection. Determine if each statement is true for all cases, true for some cases, or not true for any cases. Two lines that have different slopes will not intersect. [Select ] Two lines that have the same y-intercept will intersect at exactly one point. [Select] Two lines that have the same y-intercept and the same slope will intersect at exactly one point. [Select)

Answer 1

Answer:

Two lines that have different slopes will not intersect. NOT TRUE



Two lines that have the same y-intercept will intersect at exactly one point. TRUE



Two lines that have the same y-intercept and the same slope will intersect at exactly one point. NOT TRUE

Step-by-step explanation:

Two lines that have different slopes will not intersect.

This is not true, because lines that are parallel must have the same slopes, and parallel lines do not intersect. They must intersect since they have different slopes.

Two lines that have the same y-intercept will intersect at exactly one point.

This is true, if they have the same y-intercpt, they will intersect at exactly one point.

Two lines that have the same y-intercept and the same slope will intersect at exactly one point.

This is not true, since they have the same slope, they are parallel, and they can not intersect.