The point (-4,-3) is on a line with slope 3. Find two additional points on the line.A) (-3,0) and (-5,-6)B) (-1,-2) and (-7,-4)C) (-7,-4) and (-10,-4)D) ( − 3 , − 6 ) ( - 3 , - 6 ) ( − 3 , − 6 ) and ( − 5 , 0 ) ( - 5,0 ) ( − 5 , 0 ) E) ( − 2 , 3 ) ( - 2,3 ) ( − 2 , 3 ) and ( − 5 , − 9 ) ( - 5 , - 9 ) ( − 5 , − 9 )

Question

The point (-4,-3)  is on a line with slope 3. Find two additional points on the line.A)  (-3,0)  and (-5,-6)B)  (-1,-2)  and (-7,-4)C)  (-7,-4)  and (-10,-4)D)    ( − 3 , − 6 )  ( - 3 , - 6 )  ( − 3 , − 6 )    and   ( − 5 , 0 )  ( - 5,0 )  ( − 5 , 0 )  E)    ( − 2 , 3 )  ( - 2,3 )  ( − 2 , 3 )    and   ( − 5 , − 9 )  ( - 5 , - 9 )  ( − 5 , − 9 )

Jamiya Mason · Accepted Answer

Final Answer : A, Explanation :   Using the slope formula,   m = y 2 − y 1 x 2 − x 1 m = \frac{y_2 - y_1}{x_2 - x_1} m = x 2 ​ − x 1 ​ y 2 ​ − y 1 ​ ​  , where   m = 3 m = 3 m = 3  , and one point is   ( − 4 , − 3 ) (-4, -3) ( − 4 , − 3 )  , we can find other points on the line. For choice A,   ( − 3 , 0 ) (-3, 0) ( − 3 , 0 )   gives a slope of   0 − ( − 3 ) − 3 − ( − 4 ) = 3 1 = 3 \frac{0 - (-3)}{-3 - (-4)} = \frac{3}{1} = 3 − 3 − ( − 4 ) 0 − ( − 3 ) ​ = 1 3 ​ = 3  , and   ( − 5 , − 6 ) (-5, -6) ( − 5 , − 6 )   gives a slope of   − 6 − ( − 3 ) − 5 − ( − 4 ) = − 3 − 1 = 3 \frac{-6 - (-3)}{-5 - (-4)} = \frac{-3}{-1} = 3 − 5 − ( − 4 ) − 6 − ( − 3 ) ​ = − 1 − 3 ​ = 3  , matching the given slope.

The point (-4,-3) is on a line with slope 3. Find two additional points on the line.

A) (-3,0) and (-5,-6)
B) (-1,-2) and (-7,-4)
C) (-7,-4) and (-10,-4)
D) $(- 3, - 6)$ and $(- 5, 0)$
E) $(- 2, 3)$ and $(- 5, - 9)$

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Learning Objectives

Learning Objectives

Related questions

The point (-4,-3) is on a line with slope 3. Find two additional points on the line.A) (-3,0) and (-5,-6) B) (-1,-2) and (-7,-4) C) (-7,-4) and (-10,-4) D) (−3,−6) ( - 3 , - 6 ) (−3,−6) and (−5,0) ( - 5,0 ) (−5,0) E) (−2,3) ( - 2,3 ) (−2,3) and (−5,−9) ( - 5 , - 9 ) (−5,−9)

Definitions

Learning Objectives

Learning Objectives

Related questions

The point (-4,-3) is on a line with slope 3. Find two additional points on the line.

A) (-3,0) and (-5,-6)
B) (-1,-2) and (-7,-4)
C) (-7,-4) and (-10,-4)
D) $(- 3, - 6)$ and $(- 5, 0)$
E) $(- 2, 3)$ and $(- 5, - 9)$