What is the equation of the line that is perpendicular y=1/5x+4 and that passes through (5,–4)?

The equation of the line that passes through (5, -4)

and is perpendicular to line y = 1/5x + 4

is y= -5x + 21

The slope that is perpendicular to the slope 1/5x is -5x.

To find a perpendicular slope, you take the negative reciprocal.

The negative reciprocal of 1/5x is -5/1x, or -5x

However, y = -5x + 4 does NOT pass through (5, -4)

Looking at the line on a graph, we can find that if the y-intercept is 21, it  DOES pass through (5, -4)

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.