Graph 1 which is shown in the image below
So we need to find the two lines...y=mx+b where m is the slope and b is the y-intercept.
m=(dy/dx)=(7-6)/(3-1)=1/2 so
y=x/2+b, now I'll use (1,6) to solve for b
6=1/2+b, b=5 1/2=11/2 so
y1=(x+11)/2
now the other line...
m=(8-6)/(5-3)=2/2=1
y2=x+b, using point (3,6) we solve for b
6=3+b, b=3 so
y2=x+3
Since this is just two lines they will only intersect at a single point and when they do, y=y so we can say:
x+3=(x+11)/2
2x+6=x+11
x+6=11
x=5, now use either line to solve for the corresponding y value...
y2=x+3 becomes y=5+3=8 so the solution to this system is the point:
(5,8)
Answer:
8:12
Step-by-step explanation:
2+3 = 5
20 div 5 = 4
2 times 4 = 8
3 times 4 =12
8:12
Given:
The graph of an inequality.
To find:
The inequality for the given graph.
Solution:
From the given graph it is clear that the boundary line passes through the points (6,0) and (0,-4). So, the equation of the line is





The area under the boundary line is shaded and boundary line is a dotted line it means the points on the line are not included in the solution set. So, the inequality sing must be <.

Therefore, the required inequality for the given graph is
.