Write the equation of the line that passes through the point $\left( 0 , \frac { 8 } { 7 } \right)$ and has slope $m = \frac { 3 } { 2 }$ . Write the equation in slope-intercept form.
A) $y = \frac { 3 } { 2 } x - \frac { 8 } { 7 }$
B) $y = \frac { 8 } { 7 } x + \frac { 3 } { 2 }$
C) $y = \frac { 8 } { 7 } x - \frac { 3 } { 2 }$
D) $y = \frac { 3 } { 2 } x + \frac { 8 } { 7 }$
E) $y = 16 x + 21$

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 $m = \frac{3}{2}$ and the point $(0, \frac{8}{7})$, which represents the y-intercept ($b$), the equation is $y = \frac{3}{2}x + \frac{8}{7}$.

Write the Equation of the Line That Passes Through the Point