Question

Complete the point-slope equation of the line through (-1,6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (1,5)(1,5)left parenthesis, 1, comma, 5, right parenthesis. Use exact numbers. y-6=

Answer 1

Answer:

$y-6 = -\frac{1}{2} (x+1)$

Step-by-step explanation:

For this case we have two points given (-1,6) and (1,5)

And we want to complete the point slope equation of the line:

$y-6 = m(x-x_o)$

We need to find the slope and we can use the following formula:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

And replacing the info we got:

$m= \frac{5-6}{1-(-1)}=-\frac{1}{2}$

And then the equation would be given by:

$y-6 = -\frac{1}{2} (x- (-1))$

And our final answer would be:

$y-6 = -\frac{1}{2} (x+1)$