Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.
-(7, 9)and (4, 1)
A) $y + 9 = \frac { 8 } { 3 } ( x + 7 )$ or $y + 1 = \frac { 8 } { 3 } ( x + 4 )$
B) $y - 9 = \frac { 2 } { 3 } ( x - 7 )$ or $y - 1 = \frac { 2 } { 3 } ( x - 4 )$
C) $y + 9 = \frac { 2 } { 3 } ( x + 7 )$ or $y + 1 = \frac { 2 } { 3 } ( x + 4 )$
D) $y - 9 = \frac { 8 } { 3 } ( x - 7 )$ or $y - 1 = \frac { 8 } { 3 } ( x - 4 )$

Question

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.
-(7, 9)and (4, 1) 
A) $y + 9 = \frac { 8 } { 3 } ( x + 7 )$ or $y + 1 = \frac { 8 } { 3 } ( x + 4 )$
B) $y - 9 = \frac { 2 } { 3 } ( x - 7 )$ or $y - 1 = \frac { 2 } { 3 } ( x - 4 )$
C) $y + 9 = \frac { 2 } { 3 } ( x + 7 )$ or $y + 1 = \frac { 2 } { 3 } ( x + 4 )$
D) $y - 9 = \frac { 8 } { 3 } ( x - 7 )$ or $y - 1 = \frac { 8 } { 3 } ( x - 4 )$

Quizplus · Accepted Answer

The slope (m) is calculated as $\frac{9 - 1}{7 - 4} = \frac{8}{3}$. Using point-slope form $y - y_1 = m(x - x_1)$ with either point gives the equations in choice D.

Find the Equation of the Line Passing Through the Indicated y+9=83(x+7)y + 9 = \frac { 8 } { 3 } ( x + 7 )y+9=38​(x+7)

Find the Equation of the Line Passing Through the Indicated $y + 9 = \frac { 8 } { 3 } ( x + 7 )$