Abc has vertices at a(5,-1), b(9, -9), and c(4,-1). write the equation of the line in slope-intercept form that is perpendicular to ab and passes through point c

Step-by-step explanation:

step 1

Find the slope of AB

we know that

The formula to calculate the slope between two points is equal to

we have

A(5,-1), B(9, -9)

substitute the values

step 2

Find the slope of the line that is perpendicular to AB

we know that

If two lines are perpendicular, their their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

therefore

The slope of the perpendicular line is

step 3

Find the equation of the line in point slope form

we have

substitute

step 4

Convert to slope intercept form

Isolate the variable y

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

answer: can you show the options ?

step-by-step explanation: