Based on the graph of the line below, which describes the relationship between the value of the y-intercept and the value of the slope?
10
oc
6
4
2
2
-10 -3 -4 -22
4
B
х
8 10
6
28
10

y intercept = 3

--- slope

Step-by-step explanation:

Given

The attached graph

Required

Determine the slope and the y intercept

The is at the point where .

From the graph:

Hence,

y intercept = 3

Next, we calculate the slope using:

Where:

So, we have:

what is the your question?

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal