How do you put the equation 2y-3x=5 into slope-intercept form, and graph the equation?

1 Answer
Jul 18, 2018

$\textcolor{red}{\text{Slope - Intercept form is } y = \left(\frac{3}{2}\right) x + \frac{5}{2}}$

:. color(brown)("Slope " = m = 3/2, " y-intercept " = c = 5/2

Explanation:

$\text{Slope - Intercept form of an eqn is written as } y = m x + c$

$\text{where " m " is the slope and " c " the y-intercept}$

$m = \tan \theta = \frac{y}{x} , c = y \text{ when } x = 0$

$\text{Given equation is } 2 y - 3 x = 5$

$2 y = 3 x + 5$

$\textcolor{red}{y = \left(\frac{3}{2}\right) x + \frac{5}{2}}$

:. color(brown)("Slope " = m = 3/2, " y-intercept " = c = 5/2

graph{(3/2)x + (5/2) [-10, 10, -5, 5]}