Question

Complete the equation of the line.

Answer 1

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:

$y = 4x-3$