We are trying to represent the change in position of a bird flying down 7 ft to the ground.
Often, for the y axis- up is positive and down is negative.
Change in position is displacement- how far it was from the starting point
( different from distance which is how far is traveled
ex. doubling back would have distance they traveled some distance while the displacement is 0 because they are back to where they started).
The bird is going down 7 ft from where it originally was, which can be represented by
Bird's displacement = -7 ft
A. Finding the slope
The slope of the function is simply the ratio of the value
of the dependent variable over the independent variable, so in this case it is:
slope = 6/ 3 = 2
B. Finding the y – intercept
The y – intercept is simply the value of the dependent
variable when the independent variable is equal to zero, therefore:
y – intercept (b) = 4
C. Finding the function of the graph
The general equation of a line is given as:
y = m x + b
where m is the slope and b is the y intercept therefore:
y = 2 x + 4
D. Finding the x – intercept
The x – intercept is simply the value of the independent
variable (x) when the dependent variable (y) is equal to zero, therefore:
0 = 2 x + 4
x = - 2
E. Graph the function
<span>Check out the image attached</span>
Answer: y = 1/2x - 6
Step-by-step explanation:
#4 We are going to use slope intercept form, (y = mx+b)
1. The line crossing the y-intercept at (0,-6)
2. The slope is 1/2 (increasing by 1 then over 2 --> RISE OVER RUN)
3. Make the equation: y= 1/2x - 6