How do you find the Y intercept when you have the slope?
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Ruby Turner
Studied at University College London (UCL), Lives in London, UK
As a subject matter expert in mathematics, I can help clarify how to find the Y-intercept of a line when you have the slope. The slope of a line gives you the rate of change between the X and Y variables, but to find the Y-intercept, you need a point on the line where the line crosses the Y-axis. The Y-intercept is the value of Y when X is zero.
To find the Y-intercept, you need the equation of the line, which can be in the slope-intercept form: \( Y = mx + b \), where \( m \) is the slope and \( b \) is the Y-intercept.
If you have the slope and a point on the line (not just the slope), you can use that point to find the Y-intercept. For example, if you have a point \( (x_1, y_1) \) and the slope \( m \), you can plug the point into the equation to solve for \( b \) (the Y-intercept):
\( y_1 = m \cdot x_1 + b \)
Now, solve for \( b \) to find the Y-intercept:
\( b = y_1 - m \cdot x_1 \)
If you only have the slope and no point, you cannot determine the exact Y-intercept, because there are infinitely many lines with the same slope that could intersect the Y-axis at different points.
To find the Y-intercept, you need the equation of the line, which can be in the slope-intercept form: \( Y = mx + b \), where \( m \) is the slope and \( b \) is the Y-intercept.
If you have the slope and a point on the line (not just the slope), you can use that point to find the Y-intercept. For example, if you have a point \( (x_1, y_1) \) and the slope \( m \), you can plug the point into the equation to solve for \( b \) (the Y-intercept):
\( y_1 = m \cdot x_1 + b \)
Now, solve for \( b \) to find the Y-intercept:
\( b = y_1 - m \cdot x_1 \)
If you only have the slope and no point, you cannot determine the exact Y-intercept, because there are infinitely many lines with the same slope that could intersect the Y-axis at different points.
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Works at Google, Lives in Mountain View, CA
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!
2023-04-08 08:03:09
Charlotte Harris
QuesHub.com delivers expert answers and knowledge to you.
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!
