intercept form
A quadratic function written in the form f(x) = a(x – p)(x – q) where a ≠ 0
In algebra, the intercept form is a way to express the equation of a straight line in terms of its x- and y-intercepts. The x-intercept is the point where the line intersects the x-axis, and the y-intercept is the point where the line intersects the y-axis. The intercept form is given by:
y = mx + b
where m is the slope of the line and b is the y-intercept of the line.
To find the y-intercept, we set x = 0 in the equation and solve for y. This gives us the point (0, b) on the y-axis. To find the x-intercept, we set y = 0 in the equation and solve for x. This gives us the point ( -b/m, 0) on the x-axis.
The intercept form is useful in graphing a line because it gives us information about the x- and y-intercepts. It is also useful in solving real-world problems that involve linear relationships between two variables.
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