Working out the intercept of the Y-Axis

  • Thread starter Dearster
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Since y= 0.00100 and x= 0.00000227, y_0= 0.00100 and x_0= 0.00000227. So the equation is:y= -578.947(x- 0.00000227)+ 0.00100.In summary, the equation of the line with a gradient of -578.947 and passing through the point (0.00000227, 0.00100) is y= -578.947(x- 0.00000227)+ 0.00100. The y-intercept can be found by substituting x= 0, giving a value of 0.00100.
  • #1
Dearster
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If a gradient of -578.947 is present on a line of best fit then how can you work out the intercept of the Y-Axis when a co-ord of:

(0.00000227, 0.00100) is given?

Thank you
 
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  • #2
Dearster said:
If a gradient of -578.947 is present on a line of best fit then how can you work out the intercept of the Y-Axis when a co-ord of:

(0.00000227, 0.00100) is given?

Thank you

Well, a line is usually given by the equation y=ax+b, and the y-intercept i.e, the value of y when x=0 is evidently y=b.

Having given coordinates (X,Y) of some point, you know that:

Y=aX+b. Determine what a and b is from this.
 
  • #3
A line with slope m, passing through [itex](x_0,y_0)[/itex] has equation [itex]y= m(x-x_0)+ y_0[/itex]. Put x= 0 and you have [itex]y= y_0- mx_0[/itex].
 

1. What does "working out the intercept of the Y-axis" mean?

The intercept of the Y-axis is the point at which a line or curve intersects the y-axis on a graph. It is also known as the y-intercept and is represented by the coordinate (0, y).

2. How do you find the intercept of the Y-axis?

To find the intercept of the Y-axis, you can use the equation of the line or curve and substitute 0 for the x-value. The resulting y-value will be the y-intercept. Alternatively, you can plot the points on a graph and locate the point where the line or curve crosses the y-axis.

3. What is the significance of the intercept of the Y-axis?

The intercept of the Y-axis is important because it tells us the starting point of a line or curve on the y-axis. It can also give us information about the behavior of the line or curve, such as whether it is increasing or decreasing.

4. Can the intercept of the Y-axis be negative?

Yes, the intercept of the Y-axis can be negative. This means that the line or curve crosses the y-axis below the origin. It is represented by a coordinate with a negative y-value, such as (0, -3).

5. How is the intercept of the Y-axis used in real-world applications?

The intercept of the Y-axis is commonly used in statistics and data analysis to represent the starting value of a trend line. It can also be used in physics to represent the initial position of an object on a displacement-time graph.

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