Answer:
y+4=-5(x-15)
Step-by-step explanation:
Use point-slope form:
y-y1=m(x-x1)
m is the slope
x1 is the x coordinate of the point that the line contains
y1 is the y coordinate of the same point
We are already given the coordinates of the point (15, -4), so we just need m, the slope.
We are given that equation of the line is perpendicular to line y=1/5x+2. Perpendicular lines have slopes that are negative reciprocals of one another. The slope of y=1/5x+2 is 1/5, so all we need to do it get the negative reciprocal of 1/5.
The negative reciprocal of 1/5 would be -5. (switch the numerator and denominator and slap on a negative)
Now we know
m is -5
x1 is 15
y1 is -4,
so plug those into point-slope form: y-y1=m(x-x1)
y-(-4)=-5(x-15)
y+4=-5(x-15) is the answer
