Question

A) Graph the following two lines on the same rectangular coordinate system. Show all your working. You need to use the slope-intercept method.
Graph A: 3x+2y=12 Graph B: 4x-y=5
B) Mark the point intersection of the two graphs M, and give coordinates.
C) What is the difference in units between the Y-coordinates of Graph A and Y-coordinates of Graph B?
E) Draw the graph x-=6 on the same set of axes. At which point does this line cut Graph A?

Answer 1

Graph a.

3x+2y=12
-3x -3x

2y=-3x+12
2/2y=(3x+12)/2

y=-1.5x+6

graph b.

4x-y=5
+y +y

4x=y+5
-5 -5

4x-5=y

c) 11 units is the difference between y-coordinates of graph a and y-coordinates of graph b.

e) at (6,-3) x=6 cuts into graph a