If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Intro to intercepts

Learn what x- and y-intercepts are.  The equations used in this video are y = 0.5x - 3 and 5x + 6y = 30.

Want to join the conversation?

• what would happen if you were to add the Z axis to the graph and then do the math?
• good thinking dude!! you will learn this soon in 12th class in 3d geometry
• What if both x and y equal 1?
• Then...I doubt it would be counted as an intercept, as it'll have a different point of intersecting either axis. But it doesn't matter on the coordinates as you have provided only one coordinate, as a linear equation requires two.

Yes, the point is (1, 1), but then again, it's not a linear equation is it? It's a coordinate. There are infinite linear equations where x=1 and y=1, so no concrete answers on the basis of intercepts.

EDIT: Oops, didn't notice that it's a year old...
• What is the solution to this system of linear equations:
X+2y+3z=6
X+3y=0
y-z=0
• What is Z meant for? Since, Z isn't used in any linear equations that I know of.

Edit: It's confusing also with Z added to it.
• How can you find the slope of a line like how can you find the answer of a line or a slope
• To find the slope of a line, you can use the formula:

slope = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are two points on the line. The slope represents the rate of change in the y-direction as the x-coordinate changes. A positive slope means that the line is rising, a negative slope means that the line is falling, and a slope of 0 means that the line is horizontal.
• y=-X^3 9
how do we find the x and y intercepts?
• When y=0, calculate x to find the x-intercept. When x=0, calculate y to find the y-intercept. The y-intercept is easy: 0^3*9 = 0 = y-intercept
The x-intercept is also 0: 0^3 * 9 = 0.
Thus both intercepts=0
• Does anyone know what sal looks like?
• How do you find the intercepts from a graph
• y-intercepts are when the line touches the y-axis. To find these, find the y when x = 0.
The point for a y-intercept will look like (0,y)

x-intercepts are when the line touches the x-axis. To find these, find the x when y = 0.
The point for an x-intercept will look like (x,0)
• what is the formula for this?
• Not sure what formula you are looking for, but to find x intercept let y be zero (because y is zero on the x axis), and to find y intercept let x be zero for same reasoning.
• I don't understand how to find x and y-intercepst. Like how to find say, an x-intercept of an linear equation. Or y-intercept of an equation. For example, how do you find the intercept of 4x-2=8?