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What is point slope form?

Updated: 4/28/2022
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15y ago

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It is y1-y2=m(x1-x2). m is the slope of the line. The point should be where the 2nd y2 and x2 are. Ex: slope = 5 (3,-4) The answer to this would be: y+4=5(x-3)

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Q: What is point slope form?
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Describe a situation in which point-slope form would be more useful than slope-intercept form?

You use point-slope form to find the equation of a line if you only have a point and a slope or if you are just given two point. Usually you will convert point-slope form to slope-intercept form to make it easier to use.


Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point 1 1?

Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).


How do you find point-slope form?

The point slope form of a line is one that contains the point and the slope. It is (y-y1)=m(x-x1) Where (x1,y1) are the point on the line that you are given. The other (x,y) are any x and y and m is the slope. So if we have a point (1,2) just for example, and a slope m=3, then the point slope equation or form is (y-2)=3(x-1) Note: The point slope form is easy to remember. It comes directly from the definition of slope. The slope is the rise over the run, of (change in y values) divided (change in x values) Now call the slope m, and let a point we know be (x1,y1) and any other point on the line (x,y), then the slope is m=(y-y1)/(x-x1). Now multiply both sides by (x-x1) and you have the point slope form.


-2 -5 7 -6 in point slope form?

Point slope form of y-7=-3x identifies the line that pass through the slope of line (-2 -5) (7 -6).


How do you change slope-intercept form to point-slope form?

Slope intercept form is y = mx + b. Point slope form is y - y1 = m(x - x1). Here is an example of changing slope-intercept form to point-slope form: Change y = 3x + 2 to point slope form: y = 3x + 2 Subtract 2 from each side: y -2 = 3x The equation y-2 = 3x is in point-slope form. It can be rewritten as y-2 = 3(x-0), showing that the line passes through the point (0,2), but is doesn't need to be. (The x1 and y1 represent one point on the line, it doesn't matter which one. Therefore, there are many different equations for the same line in point-slope form. For example, the equation y -2 = 3x is the same line as the equation y - 11 = 3(x - 3), which is the same line as the equation y + 4 = 3(x + 2).)

Related questions

Describe a situation in which point-slope form would be more useful than slope-intercept form?

You use point-slope form to find the equation of a line if you only have a point and a slope or if you are just given two point. Usually you will convert point-slope form to slope-intercept form to make it easier to use.


Linear equations in point slope form?

Point-slope form is written as: y-y1=m(x-x1), where (x1, y1) is a point on the line and m is the slope (hence the name, point-slope form).


How do you write point slope form in standard form?

Point slope form is standard form. To change point slope form into general form, simply multiply both sides by the denominator of the slope, and move everything onto one side.


Is the point slope equation the same as the point slope intercept form?

no it is different


What is the definition of a point-slope form?

point slope form is y-y1=m(x-x1). x1 and y1 are both points and m is the slope.


What is the point slope form of an equation?

Point-slope form is just another way to express a linear equation. It uses two (any two points that fall on the line) and the slope of the line (Therefore the name point-slope form).y2 - y1 = m(x2 - x1)...with m as the slope.


How do you write anequation in point slope form?

Given a point P(a,b) and slope m, the point slope equation is (y - b)/(x - a) = m


Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point 1 1?

Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).


What is point slope form and slope intercept form?

y=mx+b is slope-intercept form y - y1 = m(x - x1) is point-slope form Used in algebra based math. On a graph; m is the slope b is the y-intercept x and y represent points


How do you find point-slope form?

The point slope form of a line is one that contains the point and the slope. It is (y-y1)=m(x-x1) Where (x1,y1) are the point on the line that you are given. The other (x,y) are any x and y and m is the slope. So if we have a point (1,2) just for example, and a slope m=3, then the point slope equation or form is (y-2)=3(x-1) Note: The point slope form is easy to remember. It comes directly from the definition of slope. The slope is the rise over the run, of (change in y values) divided (change in x values) Now call the slope m, and let a point we know be (x1,y1) and any other point on the line (x,y), then the slope is m=(y-y1)/(x-x1). Now multiply both sides by (x-x1) and you have the point slope form.


What is the point-slope form of a line with a slope -5 that contains the point (2-1)?

Point: (2, -1) Slope: -5 Equation: y = -5x+9


What is the point slope form of a line that has a slope of 3 and passes through point 1 4?

If: slope is 3 and point is (1, 4) Then: y = 3x+1