what is the equation of the line in the graph

Accepted Solution

Always, ALWAYS remeber this format: y = mx + bIn this equation, 'm' is the slope, and 'b' is the y-interceptWhen you're trying to find a slope, remember that the equation is [tex]\frac{rise}{run}[/tex]When finding the rise and run, look at two points that are on the graph AND on the line as well. Essentially, make sure the points you're using are integers.In this, case, the rise is -3, and the run is 2. This means that the slope is Β [tex]\frac{-3}{2}[/tex]Now we have the first part of our equation:y = - [tex]\frac{3}{2}[/tex] + bBut wait! How do we find b?Sometimes you have to input x in order to find it, but only when you're not supplied with a graph. In this case, all you have to do is look!The point of the line that is on the y-axis is called the y-intercept.In this graph, the y-intercept is -1Now we have our complete equation!y = - [tex]\frac{3}{2}[/tex] - 1Good luck!