How do you use slope to graph an equation

Kind of difficult question to answer easily.  I am going to explain why.

Step-by-step explanation:

Slope is defined by "m" in the equation y = mx+b.  Slope is not purely the only factor in graphing an equation, and as such, it is difficult to say, "Yeah, here's how you graph using slope."  Problems will usually give an ordered pair and the slope, or an ordered pair and the y-intercept, or some sort of combination of things to work with so that one may figure out the remaining variable and graph it.

Generally, one should plug given variables into the formula, simplify, and find the remaining variable.  Having the y-intercept and the slope are key to plotting a linear graph.

One should begin graphing a linear equation by first plotting the y-intercept (this is the "b" value; it is always at an x value of 0.  Go to the origin of the graph, then move up or down a certain amount according to the value of the y-intercept).  Then, look at the slope.  The slope is a ratio of rise over run - the y-value gain or loss every certain amount of x-value.  For example, if the slope were the value of 3/2, that would indicate that the line rises 3 units for every 2-unit-movements to the right.  If it were a value of -3/2, that would indicate that the line descends 3 units for every two units to the right.  If it were a value of 32, it would rise 32 units for every one unit to the right (since 32 is equivalent 32/1).  Once this is done, graph a second point according to the slope some distance away from the y-axis, and then use a ruler to draw a line from the y-intercept to that second point.

I hope this provides insight.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.