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Example 4: Horizontal Line y = -2. X-Intercept: A horizontal line does not cross the x-axis, so it has no x-intercept. Y-Intercept: The y-intercept is (0, – 2) ... Finding the x-intercept and y-intercept helps us graph linear equations quickly and accurately. They give us two points on the line, and since a straight line can be drawn using ...

Since two points determine any line, we can graph lines using the \(x\)- and \(y\)-intercepts. To find the \(x\)-intercept, set \(y = 0\) and solve for \(x\). To find the \(y\)-intercept, set \(x = 0\) and solve for \(y\). This method of finding \(x\)- and \(y\)-intercepts will be used throughout our study of algebra because it works for any ...

The Y-Intercepts. The y-intercepts are points where the graph of a function or an equation crosses or “touches” the [latex]y[/latex]-axis of the Cartesian Plane. You may think of this as a point with [latex]x[/latex]-value of zero. To find the [latex]y[/latex]-intercepts of an equation, let [latex]x = 0[/latex] then solve for [latex]y[/latex].

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.. There are basically two intercepts, x-intercept and y-intercept.

For example, in the graph above, the actual x-intercept could fall somewhere between 4.9 and 5.1. A more precise method for finding the intercept is to use the equation for a line. The universal formula for every straight line, a linear equation , is:

Question 1: Find the x-intercept and y-intercept of the equation 2x + 3y = 6. Question 2: Determine the x-intercept and y-intercept of the equation 4x – y = 8. Question 3: What are the x-intercept and y-intercept of the equation 5x + 2y = 10? Question 4: Find the x-intercept and y-intercept of the equation y = -3x + 7.

Now, intercepts are where an equation crosses the axis on the coordinate plane. The y-intercept is where the graph crosses the y-axis and the x-intercept is where the graph crosses the x-axis. Did you know that sometimes x-intercepts are also called solutions or roots or zeroes of an equation?

To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. Let's discuss these in detail with solved examples in this article. x and y Intercepts. x-intercept: The x-intercept is the point where the graph of the function crosses the x-axis. At this point, the value of the y is zero.

2x + y – 4 = 0. Example 2: Determine x and y-intercepts of the line represented by the equation 3x + 4y = 12. Solution: The equation of the line is given as 3x + 4y = 12. In order to find the y-intercept of the line, the value of x will be taken as 0 in the equation for the line. 3x + 4y = 12. 3(0) + 4y = 12. 4y = 12. y = 12/4 = 3

Emily received a gift card for her birthday and decided to download a few books. She downloaded a few $6 books and a few $3 books. She spent $30 on books. The equation that represents x number of $6 books and y number of $3 books is: 6x + 3y = 30. Graph the equation. Find the x-intercept. Explain what the x-intercept means in the context of ...

b is the y-intercept. For example, a line with the equation y = ⅓x + 4 has a slope of ⅓ and a y-intercept at 4. What exactly is a y-intercept? The y-intercept of a line is the coordinate point where the line crosses the y-axis. The y-intercept is always written as an (x,y) coordinate where x is 0. So, the line y = ⅓x + 4 has a y-intercept ...

Types of Intercept. There are two types of intercept depending on the axis. x Intercept; The x intercept is that point on a line where the y coordinate becomes zero.It lies on the x– axis.If the graph of a line is drawn then it will cut the x-axis at this point.We represent it as (x, 0), where x is the value of the abscissa through which the line passes.

Example 1: Graph the equation of the line [latex]2x-4y=8[/latex] using its intercepts. I hope you recognize that this is an equation of a line in Standard Form where both the [latex]x[/latex] and [latex]y[/latex] variables are found on one side of the equation opposite the constant term.

At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the ...

Examples. Step-by-Step Examples. Linear Equations. Find the x and y Intercepts. Step 1. Find the x-intercepts. Tap for more steps... Step 1.1. To find the x-intercept (s), substitute in for and solve for . Step 1.2. Solve the equation. Tap for more steps... Step 1.2.1. Rewrite the equation as .

The x-intercept is the point at which a line crosses the x-axis and the y-intercept is the point at which a line crosses the y-axis. The figure below shows an example of an x-intercept (green dot) and a y-intercept (red dot). Lines always have both an x and y-intercept unless the line is a horizontal or a vertical line. A horizontal line only ...

X- and Y-Intercepts. Intercepts are an important part of graphs. They indicate a lot about data. For example, y-intercepts often give a starting amount. Here are some vocabulary words to help you with this lesson: x-intercept: where the graph crosses the x-axis, and where \(y = 0\) y-intercept: where the graph crosses the y-axis, and where \(x ...

Use the following equation to find the x-intercept and the y-intercept: \(3y-6x=12\). In Example 1, the equation was in slope-intercept form. This equation is in a different format. However, you can still use the same principles to find the x- and y-intercepts. Remember: The x-intercept is found whenever \(y=0\) The y-intercept is found ...

The resultant value of x is the x-intercept of the given function. Example: Find the x-intercept of the linear equation 2x + 3y = 7. Solution: For the x-intercept of the linear equation 2x + 3y = 7. Put y = 0, 2x + 3×0 = 7. ⇒ x = 7/2. Thus, the x-intercept of 2x + 3y = 7 is 7/2. To find the y-intercept we put x = 0 in the given function and ...