Answer:
(b) y=-3/4x-8
Step-by-step explanation:
The graph that will be perpendicular to the graph 4x - 3y = -12
If this equation is represented in form of the straight line equation y = mx + b
it will change to 3y = 4x + 12
therefore y = (4/3)x + (12/3)
y = (4/3)x + 4
which implies that m = 4/3 while b = 4
However for the line that will be perpendicular to the graph, its slope m1 must be negative inverse of the slope of the initial graph
This is because m x m1 = -1
therefore m1 = -1/m
this implies that the correct answer must have a slope of -1/(4/3) = -3/4
The correct answer can then be analysed by expressing all options with y = mx + b
(a) In form of y = m1x + b, 4x+3y=12 becomes y = -4/3x + 4 (m1 = -4/3: wrong)
(b) In form of y = m1x + b, y=-3/4x-8 has m1 = -3/4 (correct)
(c) In form of y = m1x + b, y=3/4x+1 has m1 = 3/4 (wrong)
(d) In form of y = m1x + b, 3x-4y=1 becomes y = 3/4x - 1/4 (m1 = 3/4: wrong)
