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Chapter 4: Q29. (page 272)

Write an equation in point-slope form for the line that passes through the given point with the slope provided.

鈭�2,1, slope 鈭�3

Short Answer

Expert verified

The equation of the line in point-slope form is y鈭�1=鈭�3(x+2).

Step by step solution

01

Step 1. The equation in the point-slope form:

The equation of the line passing through the point x1,鈥�y1and having slope m, in point-slope form is given by,

y鈭�y1=mx鈭�x1鈥夆赌夆赌夆赌夆赌夆赌夆赌�.........1

02

Step 2. Write an equation for the line passing through the point (−2,1) having slope −3. 

Substitute x1=鈭�2,鈥�y1=1and m=鈭�3in (1),

y鈭�1=鈭�3x鈭�鈭�2y鈭�1=鈭�3x+2

Therefore, the equation of the line in point-slope form is y鈭�1=鈭�3x+2.

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