Q. 140 - Precalculus Enhanced with Graphing Utilities

Question

If two distinct lines have the same slope, but different $x$-intercepts, can they have the same $y$-intercept?

Step-by-Step Solution

Answer

No they cannot have same y-intercept

Step 1: Given information

We are given 2 lines which have same slope but different $x$-intercept.

Step 2: Explanation

No they cannot have same $y$-intercept. if they have same slope and same $y$-intercept their $x$-intercept is also same but we given that there $x$-intercepts are different. Hence there $y$-intercept has to be different.