Write the equation of the line with a slope equal to 1/3 and a y-intercept at (0,-1)

Step-by-step explanation:

Notice that they are giving to you not only the slope of the line, but its y-intercept, so we can use the "slope y-intercept" form of a line to give the answer.

Recall that the slope (m) y-intercept (b) expression of a line on the x-y plane is given by:

where "m" is the slope, and "b" the y-intercept"

In our case m = 1/3 , and the y-intercept is "-1", since the point (0,-1) corresponds to y = -1 when the x-value is "0".

The equation of the line then becomes:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.