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

Step-by-step 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} (3y)/(3)=(-2x)/(3)+(24)/(3) \\ y\text{ = }(-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