Find a slope-intercept form equation for the line.
-Through the points $( 3,5 )$ and $( - 3,7 )$
A) $y = - \frac { 1 } { 3 } x + 6$
B) $y = - \frac { 2 } { 3 } x + 6$
C) $y = - \frac { 1 } { 3 } x + 3$
D) $y = - \frac { 1 } { 3 } x - 6$

Question

Quizplus · Accepted Answer

The slope $m$ of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. For points $(3,5)$ and $(-3,7)$, $m = \frac{7 - 5}{-3 - 3} = \frac{2}{-6} = -\frac{1}{3}$. To find the y-intercept $b$, use one of the points and the slope in the equation $y = mx + b$. Using point $(3,5)$, $5 = -\frac{1}{3}(3) + b$, solving for $b$ gives $b = 6$. Thus, the equation is $y = -\frac{1}{3}x + 6$.

Find a Slope-Intercept Form Equation for the Line (3,5)( 3,5 )(3,5)

Find a Slope-Intercept Form Equation for the Line $( 3,5 )$