Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]
Answer:

Step-by-step explanation:
We have been given two points on a line
and
. We are asked to write an equation passing through these points.
We will write our equation in slope-intercept form of equation
, where,
m = Slope of line,
b = Initial value or the y-intercept.
Let us find slope of given line using slope formula.

Let point
and point
.



Now, we will substitute
and coordinates of point
in slope-intercept form of equation as:




Upon substituting
and
in slope-intercept form of equation, we will get our required equation as:

Therefore, our required equation would be
.
Pi/12 radians = 180/12 degrees = 15 degrees
tan(15 degrees) = 0.2679... (rounded)
The answer should be (x, y) —> (x - 8, y + 10)