# 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

lemjay | High School Teacher | (Level 3) Senior Educator

Posted on

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 ofÂ ` xlt=0` is: