What is the equation of the line that passes through the point (6,8) and is perpendicular to a line with the equation y= 3/2x + 5?

Step-by-step explanation:

step 1

Find the slope of the line

we know that

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

The slope of the given line is

so

The slope of the line perpendicular to the given line is

step 2

Find the equation in point slope form

we have

substitute

step 3

Convert to slope intercept form

isolate the variable y

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have