Question

3x - 36 + 2y = 0
Help! Please show work and match the algebraic function to the correct graph.

Answer 1

The answer is Graph III.

Explanation:

Given that the linear equation is y = mx + c where m represents gradient and c is y-intercept.So firstly, we have to make y the subject :

`3x - 36 + 2y = 0`

`2y = - 3x + 36`

`y = - (3)/(2) x + 18`

Next, by looking at the graph, we know that the line has a negative gradient and touches y-axis at 18 which suits the equation.