X Intercept Intercept is a point which intersects on a curve in XY axis of a graph. There are two intercepts. They are called as X intercept and Y intercept. In this article, we are going to explain x intercept and y intercept for straight line equation, parabola equation with solved examples.
X and Y Intercept for Straight Line Equation X-intercept of a line equation is a point where the line crosses x axis in the XY graph. The General form of the X intercept is (x,0). X intercept value can be calculated by putting the value of Y be zero in the equation. For Example: We take the line equation as 5x + 5y = 10 Put y = 0 and find the X intercept Know More About Quadrilateral Definition
5x + 5(0) = 10 5x + 0 = 10 5x = 10 x = 105 x = 2, Therefore the x intercept is ( 2 , 0 ). Y-intercept of a line equation is a point where the line crosses y axis in the XY graph. The General form of the Y intercept is (0,y). Y intercept value can be calculated by putting the value of X be zero in the equation. For Example :- We take the line equation as 5x + 5y = 10 Put x = 0 and find the Y intercept 5(0) + 5y = 10 0 + 5y = 10 5y = 10 Learn More About Properties of Quadrilaterals
y = 105 y = 2, Therefore the y intercept is ( 0 , 2 ). Therefore , x intercept and y intercept for this line equation are (2, 0) and (0, 2).
X and Y Intercept for Parabola Equation The general form of parabola equation is y = ax2 + bx + c where a,b and c are parts of the parabola. Here, x intercepts are the roots of the equation of parabola. The x intercepts are the roots of the equation 0 = ax2 + bx + c. The very common methods to solve the equation are by factoring or by quadratic formula. The y intercept is (0 , c) for parabola equation. For example :- Solve x intercept and y intercept: y = x2 + 5x + 6 Solution :- For x intercept, 0 = x2 + 5x + 6 Set y = 0 0 = (x+3) (x+2) Factorize it x = -3 , -2 solved it.
The x intercepts are (-3 , 0) and (-2 , 0). For y intercept, y = x2 + 5x + 6 set x =0, y = (0)2 + 5(0) + 6 y=0+0+6 y=6 The y intercept is (0 , 6) Therefore, x intercept and y intercept are (-3,0) , (-2,0) and (0,6)
Graphing Equations Graphing Linear Equations is one of the most important concepts of algebra and proper understanding is necessary to be good with it. Get help from an algebra tutor online and learn about graphing linear equations, understand all the basic and advance concepts of equations and achieve quality help here. Below is an example of graphing linear equations with one variable for a better understanding: Example :- ax + b = 0 is a linear equation in one variable. To represent a graph of linear equation in one variable , Consider the equation 2x + 4 = 0 2x = -4 x = -2
Since this equation is independent of y, for all values of y, x = -2 Hence x = -2 is a line parallel to the y-axis at x = -2. Before learning on how to graph linear equations in one variable x = -2, let us understand the basics on how to graph linear equations.
How to Graph Linear Equations How to graph linear equations Of y = mx + c Step1 :- Choose the convenient values of x and find the corresponding values of y Step 2 :- Prepare a table for different pairs of values of x and y Step 3 :- Draw the axes on a graph paper and chose a suitable sale. Step 4 :- Plot the ordered pairs fro the above table on the graph paper Step 5 :- Join these points by a straight line This straight line is the graph of y = mx + c Remark :- In the equation y = mx + c, we say that
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(i) m is the slope of the line (ii) c is the y=intercept of the line. Example :- How to Graph Linear Equations of the line y = 2x + 3. Write down its (i) y-intercept (ii) slope. Solution :- We have x = 1 ? y = (2 × 1 = 3) = 5 x = –2 ? y = {2 × (–2) + 3} = – 1 Thus, we have the following table x1–2 y5–1 Plot the Points A(1, 5) and B(–2, –1) on a graph paper. Join AB and produce it. Then, AB is the required graph of the line y = 2x + 3 clearly,
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