Here's a graph of a linear function. Write the equation that describes that function. (Express it in slope-intercept form.)

Step-by-step explanation:

The equation of a linear function in a slope-intercept form is written as

where

m is the slope of the line

q is the y-intercept

We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.

From the graph, we see that this occurs at y = 4, therefore the y-intercept is

Now we have to find the slope. We do that by choosing two points along the line, with coordinates and and by using the equation

Here we take the two points:

(0,4)

(-8,0)

So the slope is

Therefore, the equation of the line is

56

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: