Question

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?
a.–1.5
b.–0.5
c.0.5
d.1.5

Answer 1

Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)

8am = -2
9am = -0.5
10am = 1.0
11am = 2.5
12pm = 4

m = change in each value or the slope , for this it is m=1.5
c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5

The equation then is: y= 1.5*x - 3.5

The gradient/slope/m value is 1.5. The answer is 1.5

Answer 2

Answer:

d. 1.5

Step-by-step explanation:

The 2 points are:

(8, -2) and (12, 4)

Use the formula:

y2-y1/x2-x1

and you get:

(4 + 2)/12-8

Which means the slope of the two points is 1.5.