Friends! Previously we have discussed about area of an equilateral triangle calculator and In today’s session we are going to discuss about intercepts, Intercept of the lines is one of the interesting concepts in mathematics and it offers a huge trigonometric or exponential help in mathematics. Now we all are going to understand the basic concepts behind Intercepts of lines. Before proceeding further, let’s talk about Intercepts. Intercepts are 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 in XY axis of a graph. In the graph of linear equation, a line consist of both X and Y axis.
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). So, the common or general form of x-intercept is equal to (x, o) or where the value of variable y is 0. The common or general form of y-intercept is equal to (0, y) or where the value of variable x is 0. (Know more about Y intercepts in broad manner, here,)
Slope of a line also works on the concepts of X and Y intercepts. Slope of a line is a concept which tells us how a straight line angles away from the horizontal or, we can say that it describes the steepness, incline or grade of the straight line. The slope of a line is a number which calculates or defines its steepness denoted by the letter m. 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.
Now we discuss about exponential functions. A function whose value is raised to the power of the argument, Here the constant is e for the function. An exponential function is basically a mathematical function of the following form f ( x ) = ax
Here x is the variable and a is the constant.