Simonne used the following steps to simplify the given expression.
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Answer:
Direct proportional graphs <u>do not</u> need to start from the origin.
Step-by-step explanation:
Direct proportional graphs do not need to start from the origin. However, <u><em>all </em></u>direct proportional graphs <u>must</u><u> </u><u>go through</u> the origin.
Regardless of the value of the <u>constant of proportionality</u>, <em>k</em>, the graph of the lines all go through the point of origin, (0, 0).
As a proof, the attached screenshot shows the graph of three equations of direct variations. The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all <u>go through the point of origin.</u>
We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.
Further we know that there are 34 species at 11°s and 26 species at 44°s.
We can express the given information at two ordered pairs as shown below:
Let us find slope of the line through these points:
Therefore, we can write the equation of line in slope intercept form as:
Where b is the y intercept, and we can find its value using one of the two points.
Therefore, the required equation of the linear function is: