.Choose the equation that represents the line that passes through the point (−1, 6) and has a slope of −3.
1 answer:
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Answer:
Step-by-step explanation:
The equation of a line is given in the form
Where
m is the slope with formula
and
b is the y-intercept [y axis cutting point of line]
Given the two points (0, -2) and (6,0),
x_1 = 0
y_1 = -2
x_2 = 6
y_2 = 0
Now, we find m using formula:
Now we have
Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:
Thus,
equation of line =
Answer:
And
Step-by-step explanation:
For this case we assume that for the first square we have the following dimensions:
And we know that:
And the area for the second square would be:
And we know that the sum of areas is 65 so then we have this:
And replacing we got:
We can divide the last expression by 2 and we got:
And we can factorize the last expression like this:
And we have two solutions for and we got:
Since the length can't be negative we have this:
And