Find the equation of the line in the picture
(Use exact numbers)

y= ? x+ ?

y = -3x + 7

Step-by-step explanation:

In order to determine the linear equation in slope-intercept form, y = mx + b, we must first determine its slope, and y-intercept.

The slope (also referred to as the rate of change) is the measure of the steepness of a line.  We can solve for the slope of the line using the following slope formula:

We must choose two points from the graph.

Let (x₁, y₁) = (1, 4)

     (x₂, y₂) = (0, 7)

Substitute these values into the slope formula:

Hence, the slope of the line is -3.

Next, we must determine the y-intercept of the graph. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point (0, b). The value of "b" is the y-intercept that we use in the slope-intercept form.

Observing the given graph, it shows that the line crosses the y-axis at point (0, 7). Therefore, the y-intercept, b = 7.

Now that we have our slope, m = -3, and y-intercept, b = 7, we can write the following linear equation in slope-intercept form:  

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are