Answer:
y= 1/2x-3/2
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 1/2x+b
Using the point for x and y we can find b
-3 = 1/2(-3)+b
-3 = -3/2 +b
-6/2 = -3/2+b
Add 3/2 to each side
-6/2 +3/2 = b
-3/2 = b
y= 1/2x-3/2
1. 5
2. It is the slope.
3. Yes
4. The line will have a constant rate of change or slope which means it will be proportional.
Parallel lines have the same slope. The equation of the parallel line is therefore:
y = x + b
Plug in the values you are given to find b:
2 = -3 + b
b = 5
The next three number in the pattern is - 64, +16 and -4
<h3>Pattern</h3>
A number pattern is an ordered set of numbers or diagrams that follow a particular rule.
Let's find the rule in the pattern as follows:
The first term is + 4096. This is same as 2¹².
The second term is - 1024. This is same as 2¹⁰. Note the sign changed.
The third term is +256. This is same as 2⁸. The sign change also.
From the pattern we notice the exponential reduced by 2 and sign changes.
Therefore, the next three terms in the pattern are as follows;
- 2⁶ ; - 64
- 2⁴ ; + 16
- 2² ; - 4
The full pattern is as follows:
+ 4096, - 1024, +256, - 64, +16, -4
learn more on patterns here: brainly.com/question/21961097