Graph the lines by finding the points of intersection with the axes (intercepts):
1 answer:
The equation is in slope-intercept form, so you can read the equation to find the y-intercept is (0, -1).
Since the slope is -1/2, the graph goes <em>up</em> 1 unit for each 2 units to the <em>left</em>. The x-axis is up 1 unit from the y-intercept, so the x-intercept is 2 units to the left of x=0, at (-2, 0).
The graph is the line that goes through the points (0, -1) and (-2, 0).
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If you like, you can put the equation into intercept form, which shows you both the x- and y-intercepts at once. That form is ...
... x/a + y/b = 1
where <em>a</em> and <em>b</em> are the x- and y-intercepts.
If we add 1-y to the given equation, we have ...
... 1 = (-1/2)x - y
... 1 = x/(-2) + y/(-1) . . . . intercept form
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Answer:
Part A)
Part B)
Step-by-step explanation:
Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.
Let
V ----> the value of the bulldozer (dependent variable or output value)
t ----> the number of years (independent variable or input value)
we know that
The linear function in slope intercept form is equal to
we have the ordered pairs
(0,101,250) and (15,15,000)
Find the slope
The formula to calculate the slope between two points is equal to
substitute
----> is negative because is a decreasing function
The value of b is the initial value
so
substitute
Part B) The value of the bulldozer after 8 years is
For t=8 years
substitute the value of t in the linear equation