If for example: y = 2x+4
Then: y-2x = 4
And when the value of x is 0 then the y intercept is 4
And when the value of y is 0 then the x intercept is -2
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solutions are the well solution to the problem. X-intercepts are wherever a graph cross the x axis, which are hte solutions when you have to find out what x is, zeros are pretty much the same thing although i think that include y-intercepts as well..... not sure. and roots are the same thing as x-intercepts. so they are all more or less the same thing
The graphical concept of x- and y-intercepts is pretty simple. The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis. The problems start when we try to deal with intercepts algebraically.To clarify the algebraic part, think again about the axes. When you were first introduced to the Cartesian plane, you were shown the regular number line from elementary school (the x-axis), and then shown how you could draw a perpendicular number line (the y-axis) through the zero point on the first number line. Take a closer look, and you'll see that the y-axis is also the line "x = 0". In the same way, the x-axis is also the line "y = 0".Then, algebraically,an x-intercept is a point on the graph where y is zero, anda y-intercept is a point on the graph where x is zero.More specifically,an x-intercept is a point in the equation where the y-value is zero, anda y-intercept is a point in the equation where the x-value is zero.
The x co-ordinate of a quadratic lies exactly halfway between the two x-intercepts, assuming they exist. Alternatively, the x co-ordinate can be found using the formula -B/(2A), when the function is in the form, y = Axx + Bx + C.
Because a linear function just has to be a strait line which is not vertical at any point (stait), the two lines can be positioned anywhere on a graph with the same y intercepts. For instance, you could have a big "x" on the graph, where the lines cross on the y line, and have their y intercepts be the same.
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