Question 1160656
 a straight line with equation 2y = kx + h passes through the points (-3,6) and ( 1,11) find the value of k and of h
<pre>2y = kx + h
2(6) = - 3k + h ---- Substituting (- 3, 6) for (x, y)
12 = - 3k + h ------ eq (i)

2y = kx + h
2(11) = k + h --- Substituting (1, 11) for (x, y)
22 = k + h ------ eq (ii)
10 = 4k --------- Subtracting eq (i) from eq (ii)
{{{highlight_green(matrix(1,5, 10/4, or, 5/2, "=", k))}}} 

{{{matrix(1,3, 22, "=", 5/2 + h)}}} ----- Substituting {{{5/2}}} for k in eq (ii)
{{{matrix(2,3, 22 - 5/2, "=", h, 44/2 - 5/2, "=", h)}}}
{{{highlight_green(matrix(1,5, 39/2, or, 19&1/2, "=", h))}}}</pre>