Question

Write the equation, (2)x+(3)y=(24) in slope-intercept form

Answer 1

the equation in slope- intercept form:

y = -2x/3 + 8

Explanation:

GIven: (2)x+(3)y=(24)

To write in slope intercept form, we apply the formula for a linear equation:

y = mx + c

where m = slope, c = intercept

2x + 3y = 24

Make y the subject of formula by taking x to the other side of the equation:

3y = -2x + 24

Divide through by 3:

$\begin{gathered} \frac{3y}{3}=\frac{-2x}{3}+\frac{24}{3} \\ y\text{ = }\frac{-2x}{3}+8 \end{gathered}$

when we compare the above equation with the equation of line, they are in alignment.

Hence, the equation in slope- intercept form:

y = -2x/3 + 8