Try this option:
1) q: What is the slope of the line and what does it mean in this situation?
a: the slope is 2.5 and it means '<u>ammount of the rain is 2.5 mm. per hour</u>'.
2) the slope of the line is '<u>2.5</u>'
3) this means that '<u>2.5</u>' mm. of the rain falls every '<u>1</u>' hour.
Okay. Let's start with eliminating answers. Because they're colored in dots, we know that this is a line segment. That means the domain is restricted. So not D.
A, B, C, are in correct because they're just like it's anything larger -1. This is true, but because this is a segment, then we know that it ends at some point.
So it's E.
The answer is B.
If you look for where the two graphs intersect, you'll see that the x values of the ordered pairs are -4 (for the intersection in quadrant 2) and roughly 2.5 (for the intersection in quadrant 4). This problem is just asking you to look for those values.
P(1, 2), Q(3, 4)
we find the slope dividing the y over the x, that is:
m = (4 - 2)/(3 - 1) = 2/2
m = 1
and then use the line equation for a point and slope:
y - y1 = m(x - x1)
where (x1, y1) is a point through which the line passes, we use P(1,2):
y - 2 = 2(x - 1)
y - 2 = 2x - 2
y = 2x
therefore the slope is 2 and the y-axis intercept is 0