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How do you find the Y intercept of an equation?
Identify the equation Look for the Y-intercept If the equation is not in slope-intercept form
Questioner：Lucas Smith 2023-04-07 08:03:25
The most authoritative answer in 2024
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Ethan Gonzales——Works at the International Committee of the Red Cross, Lives in Geneva, Switzerland.
As a subject matter expert in mathematics, I can help you understand how to find the Y-intercept of an equation. The Y-intercept is the point where a line crosses the Y-axis in the Cartesian coordinate system. To find the Y-intercept of a linear equation, you follow these steps:
1. Identify the equation: Make sure you have the equation in the slope-intercept form, which is `y = mx + b`, where `m` is the slope and `b` is the Y-intercept.
2. Look for the Y-intercept: In the slope-intercept form, the Y-intercept is the constant term `b`. This is the value of `y` when `x` is 0.
3. **If the equation is not in slope-intercept form**, you may need to solve for `y` to get it into that form.
Here's an example:
Given the equation `3x + 2y = 6`, we want to find the Y-intercept.
- First, we solve for `y` to get the equation in slope-intercept form: `2y = -3x + 6`, and then divide both sides by 2 to isolate `y`: `y = -1.5x + 3`.
- The Y-intercept is the `b` value in the equation, which in this case is `3`.
So, the Y-intercept of the equation `3x + 2y = 6` is `3`.
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Julian Clark——Works at the International Finance Corporation, Lives in Washington, D.C., USA.
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!read more >>+119962023-04-17 08:03:25
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