Write the slope-intercept form of the equation for the line passing through the given pair of points.
-$( - 7,1 )$ and $( 6,3 )$
A) $y = \frac { 2 } { 13 } x + \frac { 27 } { 13 }$
B) $y = - \frac { 8 } { 3 } x + 19$
C) $y = - \frac { 2 } { 13 } x + \frac { 27 } { 13 }$
D) $y = \frac { 8 } { 3 } x + 19$

Question

Quizplus · Accepted Answer

The slope $m$ of the line passing through points $(-7, 1)$ and $(6, 3)$ is calculated as $m = \frac{3 - 1}{6 - (-7)} = \frac{2}{13}$. Using point-slope form and one of the points, for example, $(-7, 1)$, we can find the y-intercept $b$ by solving $1 = \frac{2}{13}(-7) + b$, which gives $b = \frac{27}{13}$. Thus, the equation in slope-intercept form is $y = \frac{2}{13}x + \frac{27}{13}$.

Write the Slope-Intercept Form of the Equation for the Line (−7,1)( - 7,1 )(−7,1)

Write the Slope-Intercept Form of the Equation for the Line $( - 7,1 )$