Write the equation of the line that passes through the point (-1,-6) and is perpendicular to a line that passes through the points (-2,5) and (-4,8)

Step-by-step explanation:

step 1

Find the slope of the given line

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

we have

(-2,5) and (-4,8)

substitute the values in the formula

step 2

Find the slope of the perpendicular line to the given line

we know that

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

so

----> slope of the given line

therefore

---> slope of the perpendicular line to the given line

step 2

Find the equation of the line in point slope form

we have

substitute

step 3

Convert to slope intercept form

isolate the variable y

kk.bj.

step-by-step explanation:

.mnm.kn.kj