Variables x and y are such that when √y is plotted against x², a straight line passing through the points (9, 8) and (16, 1) is obtained. Find y as a function of x.
- (a)Variables x and y are such that when √y is plotted against x², a straight line passing through the points (9, 8) and (16, 1) is obtained. Find y as a function of x.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [M1] Valid method to find m, e.g., m = (8-1)/(9-16) [=-1]
- [M1] Valid method to find c e.g. 1=their(-1)×16+ c FT their m
- [A1] Equation with correct variables and √y = their(-1)x² + their17
- [A1] y =(−x² +17)² oe, isw
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