Question

Write the equation in slope intercept form: 5x - 6y = 10

Answer 1

`y=(5)/(6)x-(5)/(3)`

Step-by-step explanation

We want to find the slope-intercept form of the equation:

`5x-6y=10`

The slope intercept form of a linear equation is given as:

`y=mx+b`

where m = slope; b = y intercept

Therefore, we have to make y subject of formula:

`\begin{gathered} 5x-6y=10 \\ \text{Subtract 5x from both sides of the equation:} \\ 5x-6y-5x=10-5x \\ -6y=-5x+10 \\ \text{Divide both sides by -6:} \\ -(6y)/(-6)=(-5x+10)/(-6) \\ y=(5)/(6)x-(10)/(6) \\ y=(5)/(6)x-(5)/(3) \end{gathered}`

That is the equation in slope-intercept form.