Question

Consider the following equation: 4x+9y=34x+9y=3 A) Write the above equation in the form y=mx+b.y=mx+b. Enter the values of mm and bb in the appropriate boxes below as integers or reduced fractions (in the form A/B.)

Answer 1

To write the given equation in the form y=mx+b we have to solve the given equation for y, by isolating it to one side of the equal sign:

$\begin{gathered} 4x+9y=3 \\ 9y=-4x+3 \\ y=\frac{-4}{9}x+\frac{3}{9} \\ y=-\frac{4}{9}x+\frac{1}{3} \end{gathered}$

The answers are -4/9 and 1/3.

To find the ordered pair when x=9, evaluate the expression by replacing x by 9:

$\begin{gathered} y=-\frac{4}{9}(9)+\frac{1}{3} \\ y=-4+\frac{1}{3} \\ y=-\frac{11}{3} \end{gathered}$

The ordered pair is -11/3.