Find a slope-intercept form equation for the line.
-Through $( 5,5 )$, with slope $- \frac { 2 } { 5 }$
A) $y = \frac { 2 } { 5 } x - \frac { 35 } { 5 }$
B) $y = - \frac { 2 } { 5 } x + \frac { 10 } { 5 }$
C) $y = - \frac { 2 } { 5 } x + \frac { 35 } { 5 }$
D) $y = \frac { 2 } { 5 } x + \frac { 10 } { 5 }$

Question

Quizplus · Accepted Answer

The slope-intercept form equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given a slope of $-\frac{2}{5}$ and passing through $(5,5)$, we can substitute these values into the equation to find $b$: $5 = -\frac{2}{5}(5) + b$, solving for $b$ gives $b = 7$. Thus, the equation is $y = -\frac{2}{5}x + 7$ or $y = -\frac{2}{5}x + \frac{35}{5}$.

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

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