What is the equation of a line with a slope of 0 and a y-intercept of 14?

  • MHB
  • Thread starter mathdad
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In summary, the equation of a line is a mathematical representation of a straight line on a graph, typically written as y = mx + b. The slope of a line can be found by dividing the change in y-coordinates by the change in x-coordinates of two points. The y-intercept is the point where the line crosses the y-axis and is represented by the value b in the equation. You cannot find the equation of a line with only one point, as at least two points are required to determine the slope. To graph a line using its equation, plot the y-intercept and use the slope to find additional points. Finally, connect the points with a straight line to graph the equation.
  • #1
mathdad
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1
Given the slope = 0; y-intercept is 14, find the equation of the line.

Solution:

y = mx + b

y = 0x + 14

y = 14

The equation of the line is the horizontal line y = 14.

Correct?
 
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  • #2
Correct.
 
  • #3
Cool.
 
  • #4
I hope you realized, as soon as you saw "slope is 0", that this was a constant function.
 
  • #5
For y = 0x + b, the function is y = b. I just like working out the steps.
 

1. What is the equation of a line?

The equation of a line is a mathematical representation of a straight line on a graph. It is typically written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

2. How do you find the slope of a line?

The slope of a line can be found by dividing the change in the y-coordinates of two points on the line by the change in the x-coordinates of the same two points. This can also be represented as m = (y2 - y1) / (x2 - x1).

3. What is the y-intercept of a line?

The y-intercept of a line is the point where the line crosses the y-axis on a graph. It is represented by the value b in the equation y = mx + b.

4. Can you find the equation of a line with only one point?

No, the equation of a line requires at least two points. This is because the slope of a line cannot be determined with only one point.

5. How do you graph a line using its equation?

To graph a line using its equation, you can plot the y-intercept on the y-axis and then use the slope to find additional points on the line. You can then connect the points with a straight line to graph the equation.

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