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28.10.2020 •
Mathematics
FIRST CORRECT ANSWER GETS BRAINLIEST!
Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.
slope (m):
y-intercept (b):
equation:
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Ответ:
Slope = -60 miles per hour
y-intercept = 300 mi.
Equation of the line → y = -60x + 300
Step-by-step explanation:
Let the equation representing relation between the distance to beach and time taken is,
y = mx + b
Where, m = slope of the line = Average speed of Kate
y = Distance to the beach
x = time taken
b = Distance from the beach at t = 0
Slope of a line joining points
and
is given by,
m =![\frac{y_2-y_1}{x_2-x_1}](/tpl/images/0848/8217/f6758.png)
Slope the line joining (5, 0) and (0, 300),
Slope 'm' =
= -60 miles per hour
y intercept 'b' = 300 mi.
So the equation will be,
y = -60x + 300
Ответ: