Answer:
y= (-1/2)x+(5/2)
Step-by-step explanation:
equation point slope
(y-y1)=m(x-x1)
y-3 = -1/2(x+1) add -3 to both sides and distribute
y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2
y=(-1/2)x +(-1+6/2) solve
y= (-1/2)x+(5/2)
First, solve for the slope. This can be found by looking at the y and x intercepts. At x = 0, y = 1.5. At x = 2, y = 0.
Slope is defined as Δy/Δx, or the change in y over the change in x. This means that in order to calculate the slope, you must find the difference between the values of y and divide it by the difference in the values of x for the two points to determine the slope between them.
(0 - 1.5)/(2-0) = (-1.5)/2 = -0.75 or -3/4
Now that you have the slope, we can write the equation in slope intercept form, y = mx + b, where m is the slope we calculated and b is the y intercept, 1.5.
y = (-3/4)x + 1.5
The first one is C and the second one is B
36 ways! All you have to do is multiple the number of seats by the number of people.
In Problem 13, we see the graph beginning just after x = -2. There's no dot at x = -2, which means that the domain does not include x = -2. Following the graph to the right, we end up at x = 8 and see that the graph does include a dot at this end point. Thus, the domain includes x = 8. More generally, the domain here is (-2, 8]. Note how this domain describes the input values for which we have a graph. (Very important.)
The smallest y-value shown in the graph is -6. There's no upper limit to y. Thus, the range is [-6, infinity).
Problem 14
Notice that the graph does not touch either the x- or the y-axis, but that there is a graph in both quadrants I and II representing this function. Thus, the domain is (-infinity, 0) ∪ (0, infinity).
There is no graph below the x-axis, and the graph does not touch that axis. Therefore, the range is (0, infinity).
