1. A relation is plotted as a linear function on a coordinate plane starting at point C at (3, –2) and ending at point D at (–2,
3). What is the rate of change for the linear function and what is its initial value?
The rate of change is ______ and the initial value is ______.
A. 1 and -1
B. -1 and 1
C. 5 and -2
D. -2 and 5
2. Ava drove her car at a constant rate to the train station. At the train station, she waited for the train to arrive. After she boarded the train, she traveled at a constant rate, faster than she drove her car. She entered the taxi and traveled at a constant speed. This speed was equal to the speed at which she had driven her car earlier. After some time, she arrived at her destination.
Which graph represents Ava’s travel plans? (First 3 graphs are the options to this question.)
The rate of change is ______ and the initial value is ______.
A. 1 and -1
B. -1 and 1
C. 5 and -2
D. -2 and 5
2. Ava drove her car at a constant rate to the train station. At the train station, she waited for the train to arrive. After she boarded the train, she traveled at a constant rate, faster than she drove her car. She entered the taxi and traveled at a constant speed. This speed was equal to the speed at which she had driven her car earlier. After some time, she arrived at her destination.
Which graph represents Ava’s travel plans? (First 3 graphs are the options to this question.)
1 answer:
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Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula to find the slope. Substitute the x and y values of the given points into the formula and solve:
So, the slope is .
2) Use the point-slope formula to write the equation of the line in point-slope form. Substitute values for
,
, and
into the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.
