Work Step by Step
You are given $2.4=-3.6x-0.4y$. To easily graph, you want to get $y$ all by itself on the left of the equals sign so that the equation will resemble $y=mx+b$. You can start to do this by adding $0.4y$ to both sides of the equation: $2.4+0.4y=-3.6x$. Next, subtract $2.4$ from both sides: $0.4y=-3.6x-2.4$. Now, Simply divide everything by $0.4$ to isolate $y$: $y=-9x-6$. Since your equation is now in $y=mx+b$ format, it will be easy to graph. Your y-intercept is $b=-6$. Your slope is $m =-9$ meaning your next point will be 9 down the y axis and 1 to the right along the x axis from the previous point.