Answer:
28.) c.
29.) a and c.
30.) a.
y=3x/5 +18/5
b.
(-6, 0)
31.) y=x-4
Explanation:
28.)
pounds is equal to the y value of a graph, while months is equal to the x value of the graph. slope is equal to y/x. Therefore, it is the slope.
29.) rearrange the equation to isolate the y value and then divide every equation by 2. you will then get y=4x+8. When you plug each of the points in, you will notice only a and c are true.
30.) a.
The line equation is: y=mx+b. First find the slope. You can do that with subtracting y values over dividing x values. You should get: 3-6/-1-4=3/5.
With this slope, plug in one of the points for the x and y values, and solve for b. I used the point (-1, 3) and got b=18/5
b.
For this, I found that 0= 3(-6)/5+18/5
31.) Find the slope by subtracting the y values over subtracting the x values. This should give you a slope of 1. After you find the slope, plug in your slope as m in the line equation: y=mx+b. Next, find a point in that plot and plug those in to find the y intercept (b). I chose (-2, -6) and (2, -2) and got a slope of -4. However, you can also see that when x=0, y=-4, so that could also be a nice shortcut.
Hope this helps!