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.
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].
Substitute y=0 into the equation to find the 𝑥-intercept. Connect these two intercepts with a straight line. For example, graph the linear function of y – 4𝑥 = 8. Step 1. Substitute 𝑥 = 0 into the equation to find the y-intercept. When 𝑥 = 0, the equation y – 4𝑥 = 8 becomes y = 8. The y-intercept is therefore (0, 8) Step 2.
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.
Remember that the y-intercept of a line is always written as an (x,y) coordinate where x is 0. Final Answer: The line has an equation of y=2x + 1 and the y-intercept is at (0,1) Figure 02 shows the step-by-step process for solving this first problem, and Figure 03 shows the graph of y=2x+1 (notice how the line passes through the two given ...
The x intercept is the point where the graph cuts the x axis and the y intercept is the point where the graph cuts the y axis. So at x intercept, y is 0, And at y intercept, x is 0. In the above, we discussed a line whose general equation is:-Y= mx+b; Where m is the slope and b the y intercept; To find x and y intercept, when the equation is ...
Here's an example to illustrate how you can find x- and y-intercepts. Example: Fine the x- and y-intercepts of the equation y = 10x – 12. To find the x-intercept, substitute y = 0 then solve. 0 = 10x – 12 12 = 10x x = 12 / 10 = 6/5. (or 1.2) Therefore, the x-intercept is 6/5. Since this equation is in the form y = mx + b, and b is the value ...
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 ... Step 1.2.3. Take the specified root of both sides of the equation to eliminate the exponent on the left side. Step 1.2.4. The complete solution is the result of both the positive and negative portions of ...
Intercept Form of a Line. The intercept form of a line is an equation which can be represented as \( \frac{x}{a}+\frac{y}{b}=1 \). Here, a is the x intercept and b is the y intercept.We can write these intercepts as (a, 0) and (0, b).(a, 0) is the point where the line cuts the x axis and (0, b) is the point where the line cuts the y axis. We can prove the intercept form of the line as given below.
The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b. To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by ...
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.
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 where a line crosses the x-axis, found by setting y = 0. Example: For y = 200 - 50x, solving 0 = 200 - 50x gives x = 4. Learn to find the y-intercept and intersections too!
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out! Keywords: problem; line; linear equation;
Explanation: . To find the x-intercept of an equation, set the value equal to zero and solve for . Subtract from both sides. Multiply both sides by . Since the x-intercept is a point, we will want to write it in point notation:
