To intersect, their slopes have to be different. The y-intercept can be anything.
If parallel lines had the same y intercept then they would intersect each other at that point (0, c). Parallel lines don't intersect at all so they cannot have the same y intercept. The only exception would be if both lines were the same.
Knowing that they have the same y-intercept, and knowing nothing else, the only thing you can say about the two lines is that they have the same y-intercept. That fact doesn't tell you anything else about them.
Yes, but only of the line is vertical. (It would then be written as x = a, where a is a constant. For example, the line x = 8 does not have a y-intercept. All lines in the form y = mx+b will have a y-intercept.)
No, vertical lines have an undefined slope.
To intersect, their slopes have to be different. The y-intercept can be anything.
No.
If parallel lines had the same y intercept then they would intersect each other at that point (0, c). Parallel lines don't intersect at all so they cannot have the same y intercept. The only exception would be if both lines were the same.
Knowing that they have the same y-intercept, and knowing nothing else, the only thing you can say about the two lines is that they have the same y-intercept. That fact doesn't tell you anything else about them.
parallel lines.
Are equal but the y intercept is different
Parallel lines have the same slope, which makes them parallel. However, they cannot have the same y intercept, or else it would be the same line.
Yes, but only of the line is vertical. (It would then be written as x = a, where a is a constant. For example, the line x = 8 does not have a y-intercept. All lines in the form y = mx+b will have a y-intercept.)
Two linear equations (or lines) with the same y-intercept and different slopes are intersecting lines. They intersect at the y-intercept. If the slopes are negative reciprocals (ex: one slope is 3 and one slope it -1/3) then they are perpendicular lines.
no solution
No, vertical lines have an undefined slope.
They have the same slope. If you write the lines in the slope-intercept form, you will get, for each line: y = ax + b where a is the slope, and b is the y-intercept (where the line crosses the y-axis). For two or more parallel lines, the coefficient "a" will be the same.