Intercept
Another important property of a line (or any curve on a coordinate plane) are its x- and y-intercepts: the points where the line intersects coordinate axes. Watch this lecture series and complete the interactive exercises.
Intercepts from an equation - Questions
Answers
1.
The -intercept is the point where the graph intersects the -axis. Since the -axis is also the line , the -value of this point will always be .
The -intercept is the point where the graph intersects the -axis. Since the -axis is also the line , the -value of this point will always be .
To find the -intercept, let's substitute into the equation and solve for :
To find the intercept, let's substitute into the equation and solve for :
In conclusion,
2.
The -intercept is the point where the graph intersects the -axis. Since the -axis is also the line , the -value of this point will always be .
The -intercept is the point where the graph intersects the -axis. Since the -axis is also the line , the -value of this point will always be .
To find the -intercept, let's substitute into the equation and solve for :
To find the intercept, let's substitute into the equation and solve for :
In conclusion,
3.
The -intercept is the point where the graph intersects the -axis. Since the -axis is also the line , the -value of this point will always be .
The -intercept is the point where the graph intersects the -axis. Since the -axis is also the line , the -value of this point will always be .
To find the intercept, let's substitute into the equation and solve for :
To find the -intercept, let's substitute into the equation and solve for :
So the -intercept is . Generally, in linear equations of the form (which is called slope-intercept form), the -intercept is .
In conclusion,
4.
The -intercept is the point where the graph intersects the -axis. Since the -axis is also the line , the -value of this point will always be .
The -intercept is the point where the graph intersects the -axis. Since the -axis is also the line , the -value of this point will always be .
To find the -intercept, let's substitute into the equation and solve for :
To find the intercept, let's substitute into the equation and solve for :
In conclusion,