1.14: 2 (a) Using the axes below, sketch the line with equation (@) y+ 2x=-5 (ii) y=x+4 Show the

4PM1/2/January/2019 — Question 2 · 3 marks

(a) Using the axes below, sketch the lines with equations
(i) y+2x=5\displaystyle y+2x=-5,
(ii) y=x+4\displaystyle y=x+4.
Show the coordinates of the points where each line crosses the coordinate axes.
(2)
(b) Show, by shading, the region R\displaystyle R defined by the inequalities
y+2x>5,y<x+4,x<1.y+2x>-5, \qquad y<x+4, \qquad x<1.
(1)