Step-by-step explanation:
(1) Create a table containing a few values of x and y
y - 3 = ½(x + 2)
y = ½(x + 2) + 3
x y
-10 -1
-6 1
0 3
6 7
10 9
(2) Plot your points
Draw dots at the coordinates of each point.
(3) Draw the graph
Draw a smooth line through the points.
Extend the line in both directions to the edges of the plot area.
Your graph of y - 3 = ½(x+2) should look like the figure below.
Have a beautiful day!
Answer:
Initial value , rate of change:
Step-by-step explanation:
Step 1
Find the rate of change
we know that
In a linear equation the rate of change is equal to the slope
The formula to calculate the slope between two points is equal to
we have
Substitute the values
----> rate of change
Step 2
Find the initial value
The equation of the line into slope-point form is equal to
Substitute
The initial value is the value of y when the value of x is equal to zero (is the y-intercept)
----> initial value