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Complete the equation of the line.

Complete the equation of the line.-example-1
User Drewtato
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For this case we have that by definition, the equation of the line in the slope-intersection form is given by:


y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

According to the statement, the line goes through the following points:


(x_ {1}, y_ {1}) :( 1,1)\\(x_ {2}, y_ {2}) :( 0, -3)

We found the slope:


m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-3-1} {0-1} = \frac {-4} {- 1 } = 4

Thus, the equation is of the form:


y = 4x + b

We substitute one of the points and find b:


-3 = 4 (0) + b\\b = -3

Thus, the equation is of the form:


y = 4x-3

Answer:


y = 4x-3

User Patrick Beeson
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