Question

Write an equation in slope intercept form for the line with the slope -4 and the Y intercept negative one. Then graph the line (Please graph the line with 2 points)Equation =

Answer 1

Remember that the slope intercept formula for a line is :

`y=mx+b`

where m is the slope and b is the intercept.

From the question, we know that

`m=-4\text{ and }b=-1`

therefore, we have that the slope intercept equation for this line is

`y=-4x-1`

The next step as required is to graph this line, let us find to points that belong to the graph, the points can be found by substituting values of x, and solving for y in the equation above. In the following manner:

`when\text{ }x=0\text{ we found }y=-4*0-1=-1`

so the first point that we found is (0,-1) the intercept. Let us find another

`when\text{ }x=-1\text{ we found }y=-4*(-1)-1=4-1=3`

so we found a second point of the line (-1,3),

The graph of the line is constructed with these two points as follows

Where we see that the line pass through the two points founded.