why is it called point slope form 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
And right here this is a form that people that mathematicians have categorized as point slope form So this right over here is the point slope form of the equation that describes this line Now why is it called point slope form Point Slope Form y y 1 m x x 1 The point slope form equation of the line will be y 2 0 x 7 y 2 0 y 2 0 y 2 As the slope of the line is 0 it is a horizontal line parallel to the x axis Also since the equation of the line is y 2 it is a horizontal line passing through the point
why is it called point slope form
why is it called point slope form
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Do You Know Point slope Form Check Out Our Animated Math Lessons At
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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 Point slope form can be used when one point on the line and the slope are known It is useful for finding other points on a line given that at least one point and the slope of the line are known Notice that point slope form is more or less a rearranged form of the slope formula y mx b
Point slope form is important because it can give us another set of coordinate pairs when we are only given one Using algebraic manipulation you can find coordinates and the slope from just that equation which helps with graphing Basically the point slope form is derived from the concept of finding the slope of a line when two points are given In other words if you can remember the slope formula then the point slope form should naturally come to you Let s start by reviewing the slope formula Slope Formula
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This form is most useful when you want to write the equation of a line when its slope and the coordinates of a point on the line are known Point Slope Form Equation If a line passes through a given point hspace 0 2em x 1 y 1 hspace 0 2em x1 y1 and has a slope m its equation in the point slope form is given by The name point slope form comes from the fact that you only need two pieces of information to form this equation a point on the line and the slope of the line This format comes particularly in handy when you have these two specific pieces of information but not enough to form a slope intercept equation
did you know that the point slope form helps us approximate other points on a curve i e linear approximation and is also called a first degree Taylor polynomial What Yep this little formula is used in calculus to find the equation of a tangent line to a curve and helps us to represent a function as an infinite sum of terms As the name suggests to construct an equation in the point slope form we require a point on the straight line and its slope Definition The point slope form of a line is expressed using the slope of the line and point that the line passes through
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why is it called point slope form - If line L passes through the point left x 0 y 0 right and has slope m then the equation of the line is y y 0 m left x x 0 right nonumber This form of the equation of a line is called the point slope form