How to graph the function y = 4x + 5 with the domain x less than or equal to 0? I know m = 4 and my rise/run will be 4/1 and b = 5 which will be 0,5

Expert Answers
lemjay eNotes educator| Certified Educator

So far you got it correct.

Next, let's determine the other points using the slope 4.

Since the we are only going to consider the values of x that is less than and equal to zero, then our other point is 4 units down and 1 unit to the left of (0,5) which is (-1, 1).

Our next point is 4 units down and 1 unit to the left of (-1,1). So the other point is (-2, -3.)

If we keep on moving 4 units down and 1 unit to the left of the previous point then we would come up with (-3, -7), (-4,-11) and so on.

We may use the three points (0,5) , (-1,1) , (-2,-3) to graph the given equation. Plot these points and connect them. From (-2,-3), extend the line to its left.

Since the domain is `xlt=0` , the point (0,5) is the maximum point. This means we are not going to extend the line to its right.

Hence, the graph of y=4x +5 with a domain of ` xlt=0` is: