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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.
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Which of the following is the slope-intercept form of the equation?
The slope-intercept form of the equation is y = mx + b, where m represents the slope and b represents the y-intercept. It is used to graph linear equations easily.
How do you graph when the equation is not slope intercept form?
To graph an equation that is not in slope-intercept form, you can use the process of finding points on the graph and plotting them. Choose a few x-values, plug them into the equation to find the corresponding y-values, and plot those points on the graph. Then, connect the points with a smooth line to complete the graph.
Why is it helpful to change equations so that they are in slope intercept form?
It makes it easier to work out values for x and y for graph plotting purposes.
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
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
Which best describes the effect on the graph of y equals 4x plus 8 if the y-intercept is changed to -3?
If you were to graph both equations side by side, you would see that they are parallel lines. Both equations have the same slope it is just that the line would be moved down in the graph because of the intercept change.
What is the importance of slope intercept form?
makes it very easy to graph linear equations
Which of the following is the slope-intercept form of the equation?
The slope-intercept form of the equation is y = mx + b, where m represents the slope and b represents the y-intercept. It is used to graph linear equations easily.
Which equation has a its graph a line parallel to the graph of -2x - 4y 3?
When the equation of a line is parallel to another line the slope remains the same but the y intercept changes
What equation is whose graph is parallel to the graph of y0.5x-10?
If you mean: y = 0.5x-10 then an equation parallel to it will have the same slope of 0.5 but a y intercept different to -10
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.
How do you graph when the equation is not slope intercept form?
To graph an equation that is not in slope-intercept form, you can use the process of finding points on the graph and plotting them. Choose a few x-values, plug them into the equation to find the corresponding y-values, and plot those points on the graph. Then, connect the points with a smooth line to complete the graph.
How can you go between tables and graphs and equations?
from a table to a graph just graph x and y (on a coordinate plane) from table to equation find the slope of the line and the y intercept. your equation should be in the form y=mx+b where m is the slope and b is the y intercept
Why is it helpful to change equations so that they are in slope intercept form?
It makes it easier to work out values for x and y for graph plotting purposes.
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
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
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
