It would be: (y2-y1) / (x2-x1) = (9-(-9)/5-5 = 18/0 = undefined
OPTION D IS YOUR ANSWER.........
a) The equation of line k is:

b) The equation of line j is:

The equation of a line, in <u>slope-intercept formula</u>, is given by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:

In which
and
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

- The tangent of 109 degrees is

- Thus, the slope of line m is found solving the following equation:






Thus:

It goes through point (-2,6), that is, when
, and this is used to find b.





Thus. the equation of line k, in slope-intercept formula, is:

Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:


Then

Also goes through point (-2,6), thus:



The equation of line j is:

A similar problem is given at brainly.com/question/16302622
Answer:
8x +5
Step-by-step explanation:
The sum is found by combining "like" terms—those that have the same arrangement of variables.
The first expression, 2x +6, has terms 2x and 6.
The second expression, 6x -1, has terms 6x and -1.
In each case, the first term listed is first-degree in the variable x. These are "like" terms, so can be added:
... 2x +6x = (2+6)x = 8x
The second term listed in each case is a constant. These are "like" terms, so can be added:
... 6 + (-1) = 5
Then the sum of the given expressions is the sum of the results from adding like terms:
... 8x + 5
34 = -2t....divide both sides by -2
(-34/2) = (-2/-2)t
- 17 = 1t, or just t
so ur answer is : t = -17