Step-by-step explanation:
the delimiter line is going through the points (-4, 0) and (0, -4).
the line function
y = mx + b
m is the slope of the line, b is the y-intercept (the y value when x = 0).
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to another.
so, for the 2 found points :
x changes by +4 (from -4 to 0)
y changes by -4 (from 0 to -4).
the slope m is then
-4/+4 = -1
and the y-intercept is -4 (as explained).
so, the line is
y = -x - 4
and the graphic says that all values greater than our equal to the line values are valid, so
y >= -x - 4
2(4x+5)+2(x+15)=360
8x+10+2x+30=360
10x=320
x=32
∠A=4×32+5=133º
Add the mileage together to find total miles.
Add the hours together.
Divide total miles by total hours.
305 + 190 = 495 miles
5 + 4 = 9 hours.
495 / 9 = 55 miles per hour.
The average speed was 55 miles per hour.
Answer:
The answer is B. His slope should be positive because the trend line is slanted up to the right.
Step-by-step explanation:
This answer is correct because the thred line is slanted up to the right, so it makes it positive. "His slope should be positive because the coordinates of all the plotted points are positive." is wrong because all the coordinates plotted positive isn't a valid reason. The other answers are wrong because the slope is positive.