Homework 7 Point Slope Form - Point Slope Form Homework 1 Write an equation in point slope form for the line with the given information slope of 2 3 4 B slope of 2 3 4 4 2 3 4 2 3 C slope of 3 2 6 D slope of 1 5 4 2
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
Homework 7 Point Slope Form
Homework 7 Point Slope Form
Example 3.6.5 3.6. 5. Find the equation of the line passing through (8, −2) ( 8, − 2) and perpendicular to 6x + 3y = 1 6 x + 3 y = 1. Solution: Step 1: Find the slope m m. First, find the slope of the given line. To do this, solve for y y to change standard form to slope-intercept form, y = mx + b y = m x + b.
The point slope form equation is y y1 m x x1 small y y 1 m cdot x x 1 y y1 m x x1 where x1 y1 small x 1 y 1x1 y1 are the coordinates of a point and m small mmis the slope Do you see the similarity to the slope formula What you might not know is that it s not the only way to form a line equation
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Point slope form of a line is determined by the slope of the line and any point that exists on the line The purpose of the form is to describe the equation of the entire line when given a point on the line and the slope For example in calculus point slope form can describe the line tangent to a function at a given x x value
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Hi Paula Here are some ideas 1 One way to think about point slope form is as a rearrangement of the slope formula If you ask your kids to manipulate m y k x h perhaps one will come up with y k m x h 2 Another way to think about point slope form is as a transformation of the canonical line y mx That is to say y k m x h is the end result of a vertical
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Point Slope Form
Span Class Result Type
Solution Plot the point 3 1 then move 3 units up and 5 units to the right see Figure 7 4 2 To nd the equation substitute 3 1 for x0 y0 and 3 5 for m in the point slope form of the line y y0 m x x0 Point slope form y 1 3 5 x 3 Substitute 3 5 for m 3 for x0 and 1 for y0
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Two distinct nonvertical lines are parallel if and only if their slopes are equal Write an equation for the line parallel to y 4x 3 that contains 1 2 Step 1 Identify the slope of the given line Step 2 Use point slope form to write an equation for the new line y 1 Substitute 4 for m and 1 2 for x1 y1
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: (x 1, y 1) 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):
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7 years ago 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
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Homework 7 Point Slope Form
Two distinct nonvertical lines are parallel if and only if their slopes are equal Write an equation for the line parallel to y 4x 3 that contains 1 2 Step 1 Identify the slope of the given line Step 2 Use point slope form to write an equation for the new line y 1 Substitute 4 for m and 1 2 for x1 y1
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
Point Slope Form
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