Respuesta :

With two points you can define a line.

So, the line parallel to s is q, which has these two points: (3,6) and (6,3)

There are different ways to get the line. For instance, this one:

y = a*x+b,

a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,

y = -x + b,

Now use any point, say (3,6) to get b:

6 = -3+b-> b = 9,

line is y = -x + 9,

It checks out in the other point: (6,3) --> 3 = -6+9 = 3. Good.

Other method could be:

y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.

Hope it helps!
akposevictor

The side that is parallel to side s is side q. The equation of side q is: y = -x + 9.

What is the Equation of a Line?

We can represent the equation of a line as, y = mx + b, where m is the slope of the line and b is the y-intercept.

The side that is parallel to side s is q.

Slope (m) of q = change in y / change in x = (6 - 3) / (3 - 6) = 3/-3 = -1.

Substitute m = -1 and (3, 6) = (a, b) into y - b = m(x - a):

y - 6 = -1(x - 3)

y - 6 = -x + 3

y = -x + 3 + 6

y = -x + 9

Equation of the side that is parallel to side s is: y = -x + 9.

Learn more about the equation of a line on:

https://brainly.com/question/13763238

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