Answer:
Move all terms that don't contain x to the right side and solve.
x = −2
Answer:
1,000.
Step-by-step explanation:
Answer:
y = 3.5x - 12.5
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1 / x2 - x1) with the 2 points:
(-2 - 5) / (3 - 5)
-7/-2
= 3.5
Then, plug the slope and a point into y = mx + b to solve for b:
y = mx + b
5 = 3.5(5) + b
5 = 17.5 + b
-12.5 = b
Plug the slope and the y intercept into the equation y = mx + b
y = 3.5x - 12.5 will be the equation
The slope of the graph shows the rate of change, or, in this case, the rate of depreciation, which you are told is $100 per year. So, depending upon the units used in your graph, the slope will be 100/1, and since it is a decrease as the years increase, it will have a negative slope, i.e. -100/1.
Or, if you had drawn your graph with units of $100 dollars on the y-axis, then you might say that the slope was -1 / 1.
The corresponding formula would of course be
y = 600 - 100t
where y = value after t years, and (if you are into calculus) differentiating would give you
slope = dy/dt = -100
<span>as noted above.</span>
