Can 2 parallel lines have same y-intercept?
While parallel lines have the same slope they have different y-intercepts. If the y-intercepts were the same the lines would be collinear.
Are the y-intercept of parallel lines the same?
Parallel lines have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect.
Does the y-intercept change in parallel lines?
Parallel lines are lines that will never intersect. Both lines can go onto infinity, and they will never meet. If we have an equation in the form y=mx+b, parallel lines will have the same slope but different y-intercepts.
Do parallel lines have the same slope intercept form?
First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. The slope of the line is -3/8. A parallel line will have the same slope, thus -3/8 is the correct answer.
Can 2 non vertical parallel lines have the same y-intercept?
If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel.
What does it mean if two equations have the same y-intercept?
If the y-intercepts are the same, the two equations represent the same line and there are INFINITELY MANY SOLUTIONS. 3b. If the y-intercepts are different, the two equations are distinct parallel lines and have NO SOLUTION.
Why must two parallel lines have different y-intercepts?
The slopes of the lines are the same and they have different y-intercepts, so they are not the same line and they are parallel. Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other.
Can two perpendicular lines have the same y-intercept?
Two lines with the same y-intercept are perpendicular.
Can two non vertical parallel lines have the same y-intercept?
If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. Their intersection forms a right or 90-degree angle.
Can perpendicular lines have the same y-intercept?
Why parallel lines have the same slope?
Parallel lines and their slopes are easy. Since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel.
Does the y-intercept change in perpendicular lines?
Graphically, perpendicular lines look like: Remember, that just like with parallel lines, it does not matter what the y-intercept of either line is. They will remain perpendicular as long as their slopes are negative reciprocals.
Can a one solution have the same y-intercept?
Solutions of systems of linear equations: infinitely many solutions. A system of linear equations has infinitely many solutions if the lines have the same slope and the same y-intercept.
What happens if the y-intercept is the same?
Can parallel lines have the same equation?
Explanation: Parallel lines have the same slope and differing y-intercepts. Since \displaystyle y = 9x + 5 is the only equation with the same slope, and the y-intercept is different, this is the equation of the parallel line.
Do parallel lines have the same equation?
How do you know if two lines are parallel?
Parallel lines are lines that will go on and on forever without ever intersecting. This is because they have the same slope! If you have two linear equations that have the same slope but different y-intercepts, then those lines are parallel to one another!
What if the y-intercept is the same?
However, if they share a y-intercept, that means they cross the y -axis at the same y value. Since the x value is constant on the y-axis (0), they also share an x-value here.