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=(-4)/(9)x+(3)/(9) \\ y=-(4)/(9)x+(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=-(4)/(9)(9)+(1)/(3) \\ y=-4+(1)/(3) \\ y=-(11)/(3) \end{gathered}`

The ordered pair is -11/3.