Find an equation of the line containing the given pair of points
-(5, 5)and (9, 17)
A) $y = - 10 x - 3$
B) $y = 3 x - 10$
C) $y = - 3 x - 10$
D) $y = - 10 x + 3$

Question

Find an equation of the line containing the given pair of points
-(5, 5)and (9, 17) 
A) $y = - 10 x - 3$
B) $y = 3 x - 10$
C) $y = - 3 x - 10$
D) $y = - 10 x + 3$

Quizplus · Accepted Answer

The slope of the line through points (5, 5) and (9, 17) is $m = \frac{17 - 5}{9 - 5} = \frac{12}{4} = 3$. Using point-slope form, $y - y_1 = m(x - x_1)$, with $x_1 = 5$ and $y_1 = 5$, we get $y - 5 = 3(x - 5)$. Simplifying, $y = 3x - 15 + 5$, which is $y = 3x - 10$.

Find an Equation of the Line Containing the Given Pair y=−10x−3y = - 10 x - 3y=−10x−3

Find an Equation of the Line Containing the Given Pair $y = - 10 x - 3$