we have the function
h(x)=-3x-1
this is the equation of a line
To graph a line we need at least two points
so
Find out the intercepts
step 1
Find out the x-intercept (value of x when the value of y=0)
For h(x)=0
substitute
0=-3x-1
3x=-1
x=-1/3
the x-intercept is (-1/3,0)
as the value is a fraction, take another point
For x=2
h(x)=-3(2)-1
h(x)=-7
we have the point (2,-7)
step 2
Find out the y-intercept (value of h(x) when the value of x=0)
For x=0
h(x)=-3(0)-1
h(x)=-1
the y-intercept is (0,-1)
step 3
we have the points
(2,-7)
(0,-1)
To graph, the line, plot the given points and join them
using a graphing tool