Maths-
General
Easy
Question
The graph of the linear function f is shown in the xy-plane above. The slope of the graph of the linear function g is 4 times the slope of the graph of f. If the graph of g passes through the point ( 0, −4), what is the value of g(9 ) ?
- 5
- 9
- 14
- 18
The correct answer is: 14
For solving this question we have to find the slope ,
The slope of a line = rise/run
And this can be calculated using the coordinates of any two points on the line.
For example, we can see the graph of f passes through the points (0, 3) and (2,4)
So, the slope of the graph of f is
m = (4-3)/(2-0) = ½
It is given that ,the slope of the graph of function g is 4 times the slope of the graph of f, so the slope of the graph of g is
4 (½) = 2
Since the point (0, −4) is the y-intercept of g,
g is defined as g(x) = 2x − 4.
So, this follows that
g(9) = 2(9) − 4 = 14
Therefore, the value of g(9) is 14
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