We are given an equation and required to decipher the linear equation, the slope intercept form.
The slope intercept equation is of the form:
[tex]y=mx+c[/tex]
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:
[tex]\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}[/tex]
OUR EQUATION IS: y = -x + 3
Gradient = -1
y-intercept = 3
We will now manipulate our equation to
