Question

Which line has the linear equation 3y + 3x = 9?

Answer 1

We are given an equation and required to decipher the linear equation, the slope intercept form.

The slope intercept equation is of the form:

`y=mx+c`

Where:

m = gradient

c = intercept on the y-axis

We will now manipulate our equation to resemble the equation above and recognize our gradient and intercept.

Given:

`\begin{gathered} 3y+3x=9 \\ \text{ Subtract 3x from both sides to get:} \\ 3y=-3x+9 \\ \text{Divide both sides by 3 to get:} \\ y=-x+3 \end{gathered}`

OUR EQUATION IS: y = -x + 3

Gradient = -1

y-intercept = 3

We will now manipulate our equation to