Applications of x intercept and y intercept
Intercepts of lines is one of the most interesting topic in math and it is a big trigonometry help.
So if one understands the concept they will understand the link between trigonometry and Algebra. We will now try to understand the basic concepts behind x intercept and y-intercepts of a line. First of all we will have to understand what is an Intercept? 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 a linear function or linear equation, It will have both the x-intercept or 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).So, in general form of x-intercept = ( x, 0 ) or where the value of variable y is 0, general form of y-intercept = ( 0, y ) this is where value of variable x is 0
To put it Algebraically 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. For better understand, let's take one example:
The line equation is 5x + 5y = 10, Put y = 0 and find the X intercept, 5x + 5(0) = 10, 5x + 0 = 10, 5x = 10, x = 10/5, x = 2, Therefore the x intercept is ( 2 , 0 ).
Similarly if we put x = 0 and find Y intercept 5(0)+ 5y = 10, 0 + 5y = 10, 5y = 10, y = 10/5, y = 2, therefore the Y intercept is ( 0 , 2 ).
Now lets find out X and Y intercepts for Parabola equation by taking a Trigonometry help. A parabola is the set of points that are equally distant from the focus point and the directrix. The general form of parabola equation is y = ax2 + bx + c where a,b and c are parts of the parabola.
The x intercepts are the roots of the equation 0 = ax2 + bx + c or The x intercepts is (c , 0) for parabola equation.
The y intercept is (0 , c) for parabola equation. Let's take an example to solve parabola equation using Trigonometry help.
Solve x intercept and y intercept: y = x2 + 5x + 6
For y intercept, y = x2 + 5x + 6, if we put x =0, then y = (0)2 + 5(0) + 6 , y = 0 + 0 + 6, then y = 6
The y intercept is (0 , 6) Similarly we can find x intercepts we will put y = 0. So x2 + 5x +6 = 0 so (x+2)(x+3) = 0 or x = -3 / x=-2
Therefore, x intercept and y intercept are (-3,0) , (-2,0) and (0,6). A trigonometry help will help you in solving these equations and calculating the x intercept and y intercept.
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