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Point Slope Formula: y-y1 = m(x - x1)

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What is the difference between the point slope formula and the slope intercept form of a straight line?

The point-slope formula of a straight line is expressed as (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is a specific point on the line. In contrast, the slope-intercept form is given by (y = mx + b), where (b) represents the y-intercept, the point where the line crosses the y-axis. Essentially, the point-slope form is used to write the equation of a line given a point and its slope, while the slope-intercept form is used to express the line in terms of its slope and y-intercept.


Why can you use the point-slope formula when writing an equation of a horizontal line but not with a vertical line?

A vertical line HAS NO slope! The slope is undefined in this case.


What information do you need in order to use the point slope formula?

fu


What is the slope of the line below is 2. Use the coordinates (310) to find a point slope equation of the line.?

To find the point-slope equation of the line with a slope of 2 and passing through the point (3, 10), we can use the point-slope formula: (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is the point. Plugging in the values, we get (y - 10 = 2(x - 3)). Simplifying this, the point-slope equation is (y - 10 = 2x - 6) or (y = 2x + 4).


How does using the point slope form a linear equation make it easier to write the equation of a line?

If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.

Related Questions

How do you find an equation with a given slope?

Use point-slope formula


What do you need to use the point slope formula?

The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.


Calculate the slope of the line passing through the points (6, 4) and (2, 3)?

Slope can be calculated with the slope formula. This formula is: m (slope) = second y point - first y point / second x point - first x point Applying this formula to this problem, you get: 3-4/2-6 = -1/-4 = 1/4 The slope of (6,4) and (2,3) is 1/4.


Who was the person that invented the point slope formula?

Rene Decartes


What is the difference between the point slope formula and the slope intercept form of a straight line?

The point-slope formula of a straight line is expressed as (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is a specific point on the line. In contrast, the slope-intercept form is given by (y = mx + b), where (b) represents the y-intercept, the point where the line crosses the y-axis. Essentially, the point-slope form is used to write the equation of a line given a point and its slope, while the slope-intercept form is used to express the line in terms of its slope and y-intercept.


Why can you use the point-slope formula when writing an equation of a horizontal line but not with a vertical line?

A vertical line HAS NO slope! The slope is undefined in this case.


What information do you need in order to use the point slope formula?

fu


What is the point-slope formula and how is it used?

Given a straight line with slope m and a point (p,q) on the line, the point-slope formula of the line is (y - q) = m(x - p) It is used to represent a straight line in the Cartesian plane. This allows techniques of algebra to be used in solving problems in geometry.


What is the formula for point slope form?

Y-y1=m(x-x1)


What is the formula of point slope form?

y-y1=m(x-x1) this is the answer


What is the origin of the point slope formula?

It was conceived by the French mathematician Rene Descartes


What is the slope of the line below is 2. Use the coordinates (310) to find a point slope equation of the line.?

To find the point-slope equation of the line with a slope of 2 and passing through the point (3, 10), we can use the point-slope formula: (y - y_1 = m(x - x_1)), where (m) is the slope and ((x_1, y_1)) is the point. Plugging in the values, we get (y - 10 = 2(x - 3)). Simplifying this, the point-slope equation is (y - 10 = 2x - 6) or (y = 2x + 4).