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
 and  are the slopes of <u>k and m.</u>
 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.
, 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:
The result can be shown in multiple forms.
Exact Form:
2,5+D,4-1,3D
Decimal form;
2,5+D,3,3D
Step-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.
 
        
             
        
        
        
60 of each item
Step-by-step explanation:
5 boxes of pencils, 6 boxes of markers, 15 boxes of notebooks, 10 boxes of erasers, and four boxes of folders 
 
        
                    
             
        
        
        
Answer:
Exact form: -7/10
Decimal form: -0.7
Step-by-step explanation:
Isolate the variable by dividing each side by by factors that don't contain the variable.