Answer:
The slope is 55.
Step-by-step explanation:
Slope determines the direction and the rate of increase or decrease between the two points on a surface or line.
In the question, it is given initially she is 20 miles north of her house
⇒ When x = 0 the y-coordinate is 20
So, the y-intercept is 20
Now, it is given that the rate of change is 55 miles per hour
Hence, the slope is same as 55 because it is the actual rate of change between the positions of Jennifer with time.
Hence, The slope is 55.
We want to find the slope of Jennifer's position equation.
We will see that the slope is her speed:
slope = 55mi/h.
A general linear equation in the slope-intercept form is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
Here we know that Jennifer is 20 miles north of her house, and that she drives north at a speed of 55 mi/h.
Then after x hours, she will be at y miles north of her house:
y = (55 mi/h)*x + 20mi
Comparing this with the general linear equation, we can see that here the slope is her speed, 55 mi/h.
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