The function h is defined by h(x)=a x −b, where a and b are constants. The graph of y=h(x) in the xy-plane passes through the points (0,−5) and (1,2). What is the value of a ?
Question
The function h is defined by h(x)=a x −b, where a and b are constants. The graph of y=h(x) in the xy-plane passes through the points (0,−5) and (1,2). What is the value of a ?
Solution
To find the value of 'a', we can use the formula for the slope of a line, which is (y2 - y1) / (x2 - x1).
Given the points (0,-5) and (1,2), we can substitute these into the formula:
a = (2 - (-5)) / (1 - 0) a = 7 / 1 a = 7
So, the value of 'a' is 7.
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