We can that the line intercepts at ( 0 ,4 ). This means that the y-intercept is 4. Now, we get two points (usually in whole numbers to make things easy). Two good points to use to get the slope is ( 0 , 4 ) and ( 1 , 1) . We now plug it into the Slope Formula which is ∆y (change of y) / ∆x (change of x) . We get ( 1 - 4) / ( 1 - 0 ) . We now simplify it: - 3 / 1 = - 3 We now know that the slope is - 3. We can now plug it into the y-intercept equation which is y = mx + b, where m equals the slope and b equals the y-intercept.
We now have y = -3x + 4 which is still not the answer. We now look to see if the line is dashed or if it is solid. It is dashed, meaning that it is now either < or > . We now look again at the graph to see if the line intercepts above the dashed line or below. It is below, meaning that the answer is y < -3x + <span>4 . </span> Tip: A nice trick to do is plug in some x numbers into the function and see if it stays true on the graph and the function. If we had a 180<span>°</span> line going straight from left to right and already have created the function, but do not know which inequaltiy symbol to use. See which inequality symbol is true in both the function and graph. I hope this helped you. :D
