1 Answer

Daddyboy · Answer 1 · 2020-10-15T03:52:01+0000

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: Is the slope

b: Is the cut-off point with the y axis

According to the data of the statement we have two points through which the line passes:

$(x_ {1}, y_ {1}): (0, -2)\\(x_ {2}, y_ {2}): (6,0)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 2)} {6-0} = \frac {0 + 2} {6} = \frac {2} {6} = \frac {1} {3}$

Thus, the equation is of the form:

$y = \frac {1} {3} x + b$

We substitute one of the points and find "b":

$-2 = \frac {1} {3} (0) + b\\-2 = b$

Finally, the equation is:

$y = \frac {1} {3}x -2$

Answer:

$y = \frac {1} {3}x -2$

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