Answer:
y=3/2x-7
Step-by-step explanation:
the equation of the line for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
we are given two points: (4,-1) and (8,5)
the equation for slope is (y2-y1)/(x2-x1)
label the points:
x1=4
y1=-1
x2=8
y2=5
now substitute into the equation:
m=(5--1)/(8-4)
m=6/4
m=3/2
the slope of the line is 3/2
here is our equation so far:
y=3/2x+b
we need to find b
since the equation will pass through the points, we can substitute either one into the equation to find b
let's use (4,-1) as an example
substitute into the equation
-1=3/2(4)+b
-1=6+b
-7=b
the y intercept is -7
so the equation is y=3/2x-7
hope this helps!
Answer- 30
Step-by-step explanation:
<h2>
Answer:</h2>
A rate of change tells us how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:
For linear functions. the rate of change is the slope of the line. Thus:
FOR THE TABLE:
By taking two points we can get the rate of change, so let's take 
:
FOR THE GRAPH:
Let's take 
:
As you can see, 
so <em>the ROC of the function given by the graph is greater than the ROC of the function given by the table.</em>
Answer:
x=-12
Step-by-step explanation:
You're trying to solve for x. So, to get x by itself, you need to divide by 9 on both sides and when you divide -108 by 9, you end up with x equaling -12.
-108/9=-12
x=-12
3.25, 3.5, 4.25, 4.5, 4.75
