The slope of the given line is -2, and since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/2.
Substituting into point-slope form,
So you have a right angle triangle. You need to use trig for this, as you have two values you can figure out a third.
You know that you have
90 deg. angle
19 deg. angle
Therefor you have 71 deg. angle
sin19 = x/15
15sin19 = x
x = 2.2
Now do Pythagoras c^2-b^2=a^2
a = 14.8
So the sides are 2.2 and 14.8 units long. (If these numbers are wrong tell me and I'll edit answer)
Answer: I got C.
Step-by-step explanation: I squared both 3.9 and 9.7 which gave me 109.3. Then, I square rooted it and got 10.45 which rounds to 10.5. Hopefully, this is right.
Apply the slope formula as follows:
5-4 1
m = --------- = ---------
7-(-3) 10