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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.
What is an equation of the line that passes through the point 50 and is perpendicular to the line 5x 6y24 express your answer in slope-intercept form?
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
Is the x intercept the same as the slope?
No. In a linear equation, y = mx + b, the slope is m, and the x intercept is where mx + b = 0.
What is the y gradient and intercept - y3x 2?
y=3x-2 has gradient or slope of 3 and y intercept of -2 y=3x+2 has the same slope or gradient but y intercept of 2 in general, y=mx+b has a slope of m and a y intercept of b
What are 2 lines in the same plane that never intersect?
Two lines that are in the same plane and never intersect are called "Parallel," meaning that they are lines with the same slope, but not y-intersect.
What are lines called that have the same slope and same y intercept?
they are the same line.
Do parallel lines have the same slope and y intercept?
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.
What kind of slope does lines that are equally have?
The slope is the the same, Yet The y-intercept is not the same
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.
What are lines with equal slopes called?
Lines with equal slopes are parallel, because they are going the same direction. If the slope and the intercept are the same, the lines are coinciding, because they are on top of each other.
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.
Lines having the same slope and the same y-intercept?
In two dimensions, are the same line.
Is it possible to have two different lines with the same slope?
Yes, it is possible to have two different lines with the same slope. In the context of linear equations, if two lines have the same slope but different y-intercepts, they are parallel and will never intersect. However, if they have the same slope and the same y-intercept, they are actually the same line, not two different lines.
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.
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.
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.
