Consider the linear polynomial y=ax+b, where a=0.
(i) Define the x-intercept and y-intercept of the graph of a linear polynomial.
(ii) Show that the x-intercept of the line y=ax+b is (−ab,0).
(iii) For the specific line y=−2x+5, find its x-intercept and y-intercept. Sketch a neat graph of the line on graph paper, clearly marking the intercepts.
(iv) Explain why the graph of any non-vertical straight line has exactly one real zero.