Question

Identify the form of line of the following equation 4x+5y=6

Answer 1

To make the graph of the equation, we need to solve for y

`\begin{gathered} 4x+5y=6 \\ 5y=-4x+6 \\ y=-(4)/(5)x+(6)/(5) \end{gathered}`

Then, the slope of the line is -4/5, this means that the line decreases 4 units when we move 5 units to the right. Also, the y-intercept, that is, the point where the line crosses the y axis, is 6/5