Write an equation for the line described. Give your answer in standard form.
-$x$-intercept $( - 3,0 ) , y$-intercept $( 0,2 )$
A) $- 2 x - 3 y = - 6$
B) $2 x - 3 y = 6$
C) $2 x + 3 y = - 6$
D) $2 x - 3 y = - 6$

Question

Quizplus · Accepted Answer

The standard form of a line is $Ax + By = C$. Using the intercepts, the slope is $\frac{2 - 0}{0 + 3} = \frac{2}{3}$. The equation in slope-intercept form is $y = \frac{2}{3}x + 2$. Converting to standard form gives $2x - 3y = -6$.

Write an Equation for the Line Described xxx -Intercept (−3,0),y( - 3,0 ) , y(−3,0),y

Write an Equation for the Line Described $x$ -Intercept $( - 3,0 ) , y$