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Answer:
Find the complete table in attached file.
Step-by-step explanation:
Find the Incomplete table in attached file
Given:
A car travels 55 miles per hour for 2 hours.
So the speed of the car 55 miles per hour is constant for 2 hours.
Using speed formula.
Second row.
From the second row of the table and speed is constant
, so we need to find only distance.
Third row.
From the third row of the table and speed is constant
, so we need to find only distance.
Fourth row.
From the fourth row of the table and speed is constant
, so we need to find time.
Therefore we complete the table from the above calculation.
The linear equation in standard form is:
6x - 7y = -11
Which is the last option.
<h3>How to get the equation of the line?</h3>
The line in slope-intercept form is written as:
y = a*x + b
We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:
Then we can write:
y = (6/7)*x + b
To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:
-1 = (6/7)*-3 + b
-1 + 18/7 = b
-7/7 + 18/7 = b
11/7 = b
Then the equation is:
y = (6/7)*x + 11/7
If we multiply both sides by 7 we get:
7y = 6x + 11
Now we move the term with "x" to the left:
7y - 6x = 11
That is the line in standard form.
If we multiply both sides by -1, we get the last option:
6x - 7y = -11
If you want to learn more about linear equations:
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