A straight line is given by

MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

A straight line is given by y=−7x+26y=-7x+26. Use the equation to answer the following questions. (i) State the slope and the yy-intercept of the line. (ii) Calculate the xx-intercept of the line. (iii) On graph paper, choose a suitable scale so that both intercepts are visible, and sketch the line, marking the intercepts clearly. (iv) Using your graph, estimate the value of yy when x=5.5x=5.5 and state the method you used to obtain this estimate.

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