The slope of y = 5x - 4 is 5.
The radius is the hypotenuse of the eight triangle. So we can use pythagorean triples to find the side.
It’s handy to remember that 5, 12, 13 is a pythagorean triple.
So, 13 is the radius.
Hope this helped!
Since our line is perpendicular to this line, the slope of
our line is the negative reciprocal of 1/4, which is -4/1.
Remember, negative reciprocal is just a fancy way
of saying flip the fraction and change the sign.
So the slope of our line is -4/1 and we use this slope along
with our given point to write the equation of our line.
Start with the point-slope formula.
Y - y1 = m(x - x1).
~Substitute
Y - -2 = -4/1(x - 5).
Minus a negative is plus a positive.
Y + 2 = -4/1x + 20.
Subtract 2 from both sides.
Y = -4/1x + 18
So, our answer is C.
