Answer:
x-intercept is (2,0) [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]
y-intercept is (0, -6) [The y-intercept represents the temperature at sunrise, -6°C]
Step-by-step explanation:
<u>Complete Question:</u>
<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>
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- The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
- The y-intercept is the y-axis cutting point found by setting x = 0
Lets find x-intercept first:
f(x) = 3x - 6
0 = 3x - 6
3x = 6
x = 6/3
x = 2
x-intercept is (2,0)
Now, lets find y-intercept:
f(x) = 3x - 6
f(x) = 3(0) - 6
f(x) = -6
y-intercept is (0, -6)
The x-intercept means that it takes 2 hours for the temperature to reach 0°C
The y-intercept represents the temperature at sunrise, -6°C
6.08? 0.608 i think this is wat you mean but i am not exactly sure what you are asking
Answer:
b
Step-by-step explanation:
thats funny i just did that
Answer: a. the slope is -2/5 and the y-intercept is -1/3
Step-by-step explanation:
Find the slope by finding the difference in x-values divided by the difference in y-values
(1/4 ,-13/30) and (-3/4, -1/30) are useful values
-13/30 --1/30 = -12/30 = -2/5 is the rise
-1/4 - -3/4 = 1 is the run (-2/5)/1 Division by 1 leaves the original numerator)
the slope is -2/5
To find the y intrcept, substitute the y and x values from any given coordinate into the slope intercept form and solve for b
y= mx + b
-3/5 = (-2/5)(2/3) + b
-9/15 + 4/15 = b
-5/15 = b
-1/3 = b This is the y-intercept
Screenshot below of graph illustrates this solution
