Question

Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, -1). Use the box provided or the upload option to submit all of your calculations and final answers.

Answer 1

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

$(y-y_ {0}) = m (x-x_ {0})$

Where:

$(x_ {0}, y_ {0})$: It is a point through which the line passes

m: It's the slope

We have according to the graph, that the line goes through:

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

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {1 - (- 1)} {2 - (- 2)} = \frac {1 +1} {2 + 2} = \frac {2} {4} = \frac {1} {2}$

Thus, the line is of the form:

$(y-y_ {0}) = \frac {1} {2} (x-x_ {0})$

We substitute a point:

$(y-1) = \frac {1} {2} (x-2)$

Answer:

$(y-1) = \frac {1} {2} (x-2)$