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How can we tell if two lines are parallel perpendicular or neither just from their equations?

If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither


How do you write an equation that is parallel to a given line and passes through the given point?

Parallel straight line equations have the same slope but with different y intercepts


By looking at two linear equations how can you tell that the corresponding lines are parallel?

By looking st two linear equations you can tell that the corresponding lines are parallel when the slope is the same. The slope controls where the line is.


How can you tell if two equations are parallel?

if they have the same slope If two linear equations are inconsistent - that is, have no solution, then the graphs would be parallel and have the same slope if their slope is defined. Example: x + y = 1 x + y = 2 Example with no slope: x = 1 x = 2


What equations a line parallel to the line given by y equals 5x plus 9?

It will be any of the equations that has the same slope of y = 5x+9 but with a different y intercept


What equations represents a line parallel to the line given by y equals 5x plus 9?

The equations will have the same slope as y = 5x+9 but a different y intercept


How can you tell if two equations in slope- intercept form would graph as parallel?

If the slope is the same, they are parallel. [Also, if the slopes of the two lines multiply to -1, they are perpendicular.] The slope-intercept form is y = mx + b where m and b are constants. If two different equations in this form both have the same value for m, they are parallel. Example y = 3x + 3 y = 3x - 10 As the top answer suggests, m is the slope.


If is parallel to and the slope of is -5 what is the slope of?

The parallel lines will have the same slope of -5 but with different y intercepts


What is the slope of a line parallel to 4x plus 2y equals 5?

Y = -2x + 5 so the slope of this equation, along with the slopes of parallel equations, is -2


If the slope of a line is -2 What is the slope parallel to it?

-2. Slopes of parallel lines are the same. If the lines are different it is the intercedpt that is different.


Systems of equations with different slopes and different y-intercepts have no solutions?

No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.


The two lines graphed below are parallel How many solutions are there to the system of equations?

Although there is no graph, the number of solutions is 0.