Friends, Previously we have discussed about area of ellipse calculator and today we are going to learn the most important and interesting topic of mathematics named as Intercepts and its help in graphing equations. Intercepts are those points in a graph where the graph crosses either the x-axis or the y-axis or in simple mathematical manner, we can say that an Intercept is a point which intersects on a curve in XY axis of a graph. For example in a linear equation graph or in a linear equation functions as It will have both the X Intercept and Y Intercept.
Now lets talk about X Intercept and Y Intercept. An X Intercept is where the graph crosses the x-axis (that is where the value of y = 0)whereas a y-intercept is where the graph crosses the y-axis (that is where the value of x = 0).
general form of x-intercept = ( x, 0 )
general form of y-intercept = ( 0, y )
In an algebraically manner we can say that an x-intercept is a point on the graph where y is zero, and a y-intercept is a point on the graph where x is zero. Intercepts also play an important role in finding out the slope of a line. Now lets discuss about Slope Formula. The slope of a line means the steepness or incline of the line. The slope of a line including the x axis and y axis is represented by m and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line. The slope of a line is a number which calculates or defines its steepness denoted by the letter m. (Know more about Intercepts in broad manner, here,)
The slope through the points (x1, y1) and (x2, y2) is given as Slope Formula.
( m = y2-y1/x2-x1 ) where x1 is not equal to x2.
In general, slope intercept form denotes the formula: y = mx + b.
where m = slope of the line
b = Y Intercept.