Finding y-intersept form two points

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In summary, the conversation is about finding the slope and y-intercept of a line given two points (7,1) and (3,10). The formula for slope, (Y2-Y1)/(X2-X1), is mentioned and a correction is made to use proper grouping symbols in the formula. The conversation ends with the person thanking for the help and apologizing for any incorrectness.
  • #1
mastershake15
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Homework Statement


suppose you had the points (7,1) and (3,10)


Homework Equations



i know that Y2- Y1/X2 - X1 give you the slope

The Attempt at a Solution


please help this problem is killing my math grade on tests thank you
 
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  • #2
Ok, you have the slope. What is it? The y-intercept form is y=m*x+b where m is the slope. To find b, put one of your points into the equation, say x=7, y=1 and solve for b.
 
  • #3
This part is wrong. Do you know how to correct this:
2. Homework Equations

i know that Y2- Y1/X2 - X1 give you the slope
Either use a good mathematical typesetting system, such as Tex or TexAide, or write the formula for slope properly using grouping symbols:
(Y2 - Y1)/(X2 - X1)
 
  • #4
oh... thank you i feel silly now and sry bout the incorrectness i have never posted in math/science help forums before
 

Related to Finding y-intersept form two points

1. How do I find the y-intercept form two points?

To find the y-intercept form two points, you will need to first determine the slope of the line using the formula (y2-y1)/(x2-x1). Then, plug in the values for one of the points and the slope into the slope-intercept form equation y = mx + b. Finally, solve for the y-intercept (b) by substituting the coordinates of one of the points into the equation.

2. What is the formula for finding the y-intercept from two points?

The formula for finding the y-intercept from two points is y = mx + b, where m represents the slope of the line and b represents the y-intercept. This formula is known as the slope-intercept form of a linear equation.

3. Can I find the y-intercept if I only know two points on a line?

Yes, you can find the y-intercept if you know two points on a line. This can be done by first finding the slope of the line using the formula (y2-y1)/(x2-x1). Then, plug in the values for one of the points and the slope into the slope-intercept form equation y = mx + b. Finally, solve for the y-intercept (b) by substituting the coordinates of one of the points into the equation.

4. Why is it important to find the y-intercept from two points?

Finding the y-intercept from two points is important because it allows you to determine the equation of a line in slope-intercept form. This can be useful in graphing the line and determining important characteristics such as the slope and y-intercept. It can also be used in solving real-world problems involving linear relationships.

5. Is there a faster way to find the y-intercept from two points?

Yes, there is a faster way to find the y-intercept from two points. Instead of using the slope-intercept form equation, you can use the point-slope form equation y - y1 = m(x-x1). This equation only requires the coordinates of one of the points and the slope to find the y-intercept. It can be a quicker method when solving for the y-intercept.

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