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Sagot :
Given:
The graph passes through the points (0,-20) and (4,10).
To find:
The equation of line that most closely represents the line depicted in the graph.
Solution:
If a line passing through two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The given line passes through the points (0,-20) and (4,10). So, the equation of line is
[tex]y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)[/tex]
[tex]y+20=\dfrac{10+20}{4}(x)[/tex]
[tex]y+20=\dfrac{30}{4}x[/tex]
[tex]y+20=\dfrac{15}{2}x[/tex]
Subtracting 20 from both sides, we get
[tex]y=\dfrac{15}{2}x-20[/tex]
The function form is
[tex]f(x)=\dfrac{15}{2}x-20[/tex]
f of x equals fifteen halves times x minus 20.
Therefore, the correct option is B.
Answer:
Your answer is B
Step-by-step explanation:
f of x equals fifteen halves times x minus 20
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