Use the given conditions to write an equation for the line in slope-intercept form.
-Slope $= \frac { 4 } { 5 }$, passing through $( 2,7 )$
A) $y = \frac { 4 } { 5 } x - \frac { 27 } { 5 }$
B) $y = m x + \frac { 27 } { 5 }$
C) $y = \frac { 4 } { 5 } x + 2$
D) $y = \frac { 4 } { 5 } x + \frac { 27 } { 5 }$

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given the slope $m = \frac{4}{5}$ and a point $(2,7)$, we can substitute these values into the slope-intercept form to find $b$. Using the point $(2,7)$, $7 = \frac{4}{5}(2) + b$, solving for $b$ gives $b = \frac{27}{5}$. Therefore, the equation of the line is $y = \frac{4}{5}x + \frac{27}{5}$.

Use the Given Conditions to Write an Equation for the Line