Lines b and c are parallel. what is the measure of 2? m2 = 31° m2 = 50° m2 = 120° m2 = 130°

2.  

Step-by-step explanation:  

We have been given that lines b and c are parallel.

Since we know that vertical angles are always congruent. We can see that measure of angle 2 will be equal to as it is the measure of vertical angle of angle 2.  

We can see that and form a linear pair, so they will add up to 180 degrees.  

Now let us substitute value of x in the expression to find the measure of angle 2.  

Therefore, the measure of angle 2 will be 50 degrees and 2nd option is the correct choice.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4