Friends, Previously we have discussed about area of equilateral triangle calculator and In today’s session we are going to discuss about intercepts, Intercepts of the lines are of the interesting as well as complex concept in mathematics and it requires a huge trigonometric help in studying mathematics. For solving such complex problems an Online Service provider TutorVista is available on internet. It provides an online education to those students who find difficulties in solving math problems and for those you want to top their classes. Before proceeding further, let’s talk about the basic concept behind Intercepts. Intercepts occurs where a graph crosses either the x-axis or the y-axis or we can say that Intercept is a point which intersects on a curve on XY axis of a graph. An x- intercept is the one where the graph crosses the x-axis (that is where the value of y = 0) whereas y-intercept of line is the one where the graph crosses the y-axis (that is where the value of x = 0).
The general form of x-intercept is equal to (x, o).
The common form of y-intercept is equal to (0, y).
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 it is defined as the change in the y coordinate in respect to the corresponding change in the x coordinate, between two distinct points on the line.(Know more about Intercepts in broad manner, here,)
The slope through the points (x2, x1) and (x2, y2) is given as slope formula.
(m = x2– y2 / x2– x1 )
where x1 is not equal to x2.
In general, slope intercept form denotes the formula: y = mx + b. Here, m = slope of the line and b = y intercept.
X and Y intercepts concept also plays an important role in solving Parabolic equations which requires a trigonometric help. The ‘x’ intercepts are the roots of the equation ax2 + bx + c = 0 or the x intercepts is (c,0) for parabola equation. Whereas the y intercept is (0,c) for parabola equation.
In the next session we will discuss about Use Slope Formula for Calculating Slope of Line and You can visit our website for getting information about what is a linear equation and ncert sample papers for class 8.