The graph of a straight line intersects the coordinate axes at the points P(0,5) on…
MATHEMATICS · Multi-part · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
The graph of a straight line intersects the coordinate axes at the points P(0,5) on the y-axis and Q(8,0) on the x-axis.
Answer the following questions related only to what can be observed from this graph.
(i) Describe, in words, how the two intercepts P and Q enable you to estimate the slope of the line without using any coordinate-geometry formula.
(ii) State whether the slope of the line is positive, negative, zero or undefined and justify your answer purely on the basis of its graphical position.
(iii) A student claims that the numerical value of the slope is 85. Examine this claim using the graphical information and explain why it is or is not correct.