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Choose the equation that represents the graph below:


Graph of a line passing through points 0 comma 4 and 3 comma 0

y = −three fourthsx + 4 y = −four thirdsx + 4 y = three fourthsx − 4 y = 4 thirdsx − 4






Question 23 (Multiple Choice Worth 1 points)



(03.07 LC)


Identify the slope of the line shown in the graph below:


Graph of a vertical line with an x intercept of negative 1

slope = –1 slope = 0 slope = undefined slope = 1






Question 24 (Fill-In-The-Blank Worth 1 points)



(03.05 LC)


The graph below plots a function f(x):


graph of line segment going through ordered pairs 0, 100 and 3, 220


If x represents time, the average rate of change of the function f(x) in the first three seconds is ___.


Answer for Blank 1:




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Verified Answer :

nobillionaireNobley

Line passing through (0, 4) and (3, 0); slope = -4/3 and y-intercept is 4. Therefore the equation is given by \(y=- \frac{4}{3} x+4\)

The correct answers are:

y = -4/3x + 4; undefined; and 40

Explanation:

The equation of a line can be represented in slope-intercept form, y=mx+b.  The slope is represented as m and the y-intercept as b.  The formula for slope is

m = (y₂-y₁)/(x₂-x₁)

Using our points, we have m = (0-4)/(3-0) = -4/3.

The y-intercept is where the data crosses the y-axis; this means it will have an x-coordinate of 0.  This makes the first point our y-intercept.  This gives us the equation y = -4/3x + 4.

The slope of a vertical line is undefined.  This is because it is the change in y over the change in x; since the x-value does not change, this will be 0, which means we are dividing by 0, which is undefined.

The rate of change is the same thing as slope:

m = (y₂-y₁)/(x₂-x₁) = (220-100)/(3-0) = 120/3 = 40

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