Point Slope Form Notes

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Point Slope Form Notes - In the point slopes form it looks like you re saying you could use either set of coordinates I thought it was the first set of coordinates since it says x1 and y1 Please explain

Point slope is the general form y y m x x for linear equations It emphasizes the slope of the line and a point on the line that is not the y intercept Watch this video to learn more about it and see some examples Created by Sal Khan Questions Tips Thanks Want to join the conversation Sort by Top Voted Jinsung Lim 8 years ago

Point Slope Form Notes

Point Slope Form Notes

Point Slope Form Notes

The "point-slope" form of the equation of a straight line is: y − y 1 = m (x − x 1) The equation is useful when we know: one point on the line: (x1, y1) and the slope of the line: m, and want to find other points on the line. Have a play with it (move the point, try different slopes): Now let's discover more. What does it stand for?

Point slope is a specific form of linear equations in two variables y b m x a When an equation is written in this form m gives the slope of the line and a b is a point the line passes through This form is derived from the slope formula Want to learn more about point slope form Check out this video

Intro To Point Slope Form Algebra Video Khan Academy

Step 1 Calculate the slope using the slope formula Step 2 Substitute the slope and ONE of the two points into point slope form Ex 3 Write the equation of the line that passes through the points 1 4 and 5 8 in point slope form Find the slope using the slope formula

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Point slope is the general form y y m x x for linear equations It emphasizes the slope of the line and a point on the line that is not the y intercept We can rewrite an equation in point slope form to be in slope intercept form y mx b to highlight the same line s slope and y intercept

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Figure 3 5 3 The line passing through P 1 2 and Q 3 4 Next let s calculate the slope of the line by subtracting the coordinates of the point P 1 2 from the coordinates of point Q 3 4 Slope y x 4 2 3 1 6 4 3 2 Thus the slope is 3 2 Next use the point slope form y

point-slope-form

Point Slope Form

Point Slope Form Slope intercept form is useful when we know the y intercept of a line However we are not always given this information When we know the slope and one point which is not the y intercept we can write the equation in point slope form Equations in point slope form look like this y k m x h

The equation of the line between any two points ( x 1, y 1) and ( x 2, y 2) can be written in the following form: y − y 1 = m ( x − x 1). To write an equation in point-slope form, you need two things: The slope of the line A point on the line Let's write the equation for the a line containing (9, 3) and (4, 5) in point-slope form:

Point Slope Equation Of A Line Math Is Fun

Procedure for Using the Point Slope Form of a Line When given the slope of a line and a point on the line use the point slope form as follows Substitute the given slope for m in the formula y y 0 m left x x 0 right Note that equation 11 is identical to equation 10 Thus it doesn t matter which point you use in the point

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Point Slope Form Notes

Point Slope Form Slope intercept form is useful when we know the y intercept of a line However we are not always given this information When we know the slope and one point which is not the y intercept we can write the equation in point slope form Equations in point slope form look like this y k m x h

Point slope is the general form y y m x x for linear equations It emphasizes the slope of the line and a point on the line that is not the y intercept Watch this video to learn more about it and see some examples Created by Sal Khan Questions Tips Thanks Want to join the conversation Sort by Top Voted Jinsung Lim 8 years ago

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