Explanation Given information: The line is passing through the points ( − 1 , 4 ) and ( 3 , 7 ) . Explanation: To draw a line passing through ( − 1 , 4 ) and ( 3 , 7 ) , find an equation of a line using the point-slope form . As ( x 1 , y 1 ) = ( − 1 , 4 ) and ( x 2 , y 2 ) = ( 3 , 7 ) . Then, the slope of the line is m = y 2 − y 1 x 2 − x 1 = 7 − 4 3 − ( − 1 ) = 3 4 . Point slope form: If the slope is m and if ( x 1 , y 1 ) is a point on the line, the equation of line in point slope form is y − y 1 = m ( x − x 1 ) . Thus, m = 3 4 and ( x 1 , y 1 ) = ( − 1 , 4 )

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Author: Larry Goldstein, David Lay

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Chapter 1, Problem 7RE

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The equation of the line passing through points (−1,4) and (3,7) and sketch the graph of the line.

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The equation of the line passing through points ( − 1 , 4 ) and ( 3 , 7 ) and sketch the graph of the line.

Solution Summary: The author explains how to draw a line passing through the points (-1,4) and

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The equation of the line passing through points (−1,4) and (3,7) and sketch the graph of the line.

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