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Do parallel lines have the same slope?
Yes, parallel lines have the same slope. Parallel means that the lines go on forever and never cross - so, you could practically put one line on top of the other and it would have the same slope (how much it rises in relation to how far over it goes). The only difference between two lines that are parallel is their y-intercept (where they cross the y-axis).
What is the slope of a line parallel to a line with slope -2?
For two lines to be parallel they must have the same slope. A line parallel to a line with slope -2 would have a slope of -2.
If two lines are perpendicular do the have the same slope?
No but if the two lines are parallel then they will have the same slope.
Lines with the same slope are?
Lines with the same slope but with different y intercepts are parallel.
What is the slope of the line parallel to -3x 5y 17?
It will have the same slope but a different y intercept
What are lines called that have the same slope and the same y intercept?
parallel lines.
Do parallel limes always have the same slope and y intercept?
Yes, parallel lines always have the same slope but different y-intercepts. The slope indicates the steepness and direction of the lines, while the y-intercept is the point where the line crosses the y-axis. Since parallel lines never intersect, they cannot have the same y-intercept.
Is two distinct lines with same x intercept parallel?
No. In order to be parallel, two lines would have to have the same slope, and different intercepts.Why? Two lines with different slopes, but the same intercepts would result in two intersecting lines. Two lines with the same slope, and the same intercept would result in the same line. Two lines with the same slope, and different intercepts would be parallel.
How do you write an equation of parallel lines in slope-intercept form?
To write an equation of parallel lines in slope-intercept form (y = mx + b), first identify the slope (m) of the line you want to be parallel to, as parallel lines have the same slope. Then, choose a y-intercept (b) for the new line—this can be any value. Substitute the slope and the chosen y-intercept into the slope-intercept form to get the equation of the parallel line. For example, if the original line is y = 2x + 3, a parallel line could be y = 2x + 1.
What is the relationship between the equations of parallel lines?
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.
Why the same slope and y intercept is parallel?
Two lines are parallel if they have the same slope because parallel lines maintain a constant distance from one another and never intersect. The slope indicates the steepness and direction of the line; if two lines share the same slope, they rise or fall at the same rate. The y-intercept, however, determines where a line crosses the y-axis. If two lines have the same slope but different y-intercepts, they will never meet, thus confirming their parallel nature.
How can you use the slopes and y-intercepts to determine if two lines are parallel?
If the lines are straight and have the same slope they are parallel, no matter what the y intercept is
What is What is true about parallel line sun regard to the slope?
Type your answer here... Two parallel lines have the same slope. For example: 1/4x + 5 has a slope of 1/4 and y-intercept of 5 1/4x + 9 has a slope of 1/4 and y-intercept of 9 These two lines are PARALLEL.
Are two lines with the same slope and different y-intercept perpendiculars?
No because two lines with the same slope but with different y intercepts are parallel lines. Perpendicular lines meet each other at right angles.
Do parallel lines have the same slope?
Yes, parallel lines have the same slope. Parallel means that the lines go on forever and never cross - so, you could practically put one line on top of the other and it would have the same slope (how much it rises in relation to how far over it goes). The only difference between two lines that are parallel is their y-intercept (where they cross the y-axis).
Write equation in slope intercept form for the line parallel to y equals 3x-3 and with a y intercept of -4?
Since the two lines are parallel, then they have the same slope, 3. Thus, the equation of the line with y-intercept -4, and parallel to y = 3x - 3 is y = 3x - 4.
How does the slope between two parallel lines compare?
The slope between two parallel lines is identical. This is because parallel lines have the same slope and will never intersect. The slope of a line is a measure of its steepness, and when two lines are parallel, they will have the same steepness, resulting in the same slope. Therefore, the slope between two parallel lines will always be equal.
