point slope form
An equation of the form y-y1=m(x-x1), where m is the slope and (x1, y1) is a given point on a non-vertical line.
The point-slope form is an equation used in algebra to describe a linear relationship between two variables.
The point-slope form of an equation of a straight line is given as:
y – y1 = m(x – x1)
where y1 and x1 are the coordinates of a given point on the line and m is the slope of the line.
This form of equation is useful when we are given a point and a slope and have to find the equation of a line that passes through that point with the given slope.
For example, if we are given a point (3, 4) and a slope of 2, we can use the point-slope form to write the equation of the line that passes through this point with the given slope as:
y – 4 = 2(x – 3)
This can be simplified into the slope-intercept form by solving for y as:
y = 2x – 2
In summary, the point-slope form is a useful tool for finding the equation of a line given a point and slope.
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