Write an equation of the line that passes through the points (4,-2) and (1,7) . Write the equation in general form.A) y = − 1 3 x + 10 y = - \frac { 1 } { 3 } x + 10 y = − 3 1 x + 10 B) y = 3 x − 14 y = 3 x - 14 y = 3 x − 14 C) y = − 3 x + 10 y = - 3 x + 10 y = − 3 x + 10 D) y = 3 x + 10 y = 3 x + 10 y = 3 x + 10 E) y = 1 3 x − 14 y = \frac { 1 } { 3 } x - 14 y = 3 1 x − 14

Question

Write an equation of the line that passes through the points (4,-2)  and (1,7)  . Write the equation in general form.A)    y = − 1 3 x + 10 y = - \frac { 1 } { 3 } x + 10 y = − 3 1 ​ x + 10 B)    y = 3 x − 14 y = 3 x - 14 y = 3 x − 14 C)    y = − 3 x + 10 y = - 3 x + 10 y = − 3 x + 10 D)    y = 3 x + 10 y = 3 x + 10 y = 3 x + 10 E)    y = 1 3 x − 14 y = \frac { 1 } { 3 } x - 14 y = 3 1 ​ x − 14

Trisha Shailesh Shukla · Accepted Answer

Final Answer : C, Explanation :   The slope of the line through the points (4,-2) and (1,7) is   − 3 -3 − 3  . Using point-slope form, the equation is   y + 2 = − 3 ( x − 4 ) y + 2 = -3(x - 4) y + 2 = − 3 ( x − 4 )  , which simplifies to   y = − 3 x + 10 y = -3x + 10 y = − 3 x + 10  .

Write an equation of the line that passes through the points (4,-2) and (1,7) . Write the equation in general form.

A) $\frac { 1 } { 3 } x + 10$
B) $y = 3 x - 14$
C) $y = - 3 x + 10$
D) $y = 3 x + 10$
E) $\frac { 1 } { 3 } x - 14$

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