Write the equation of the line that is perpendicular to y = -2/3 x +2 and goes through the point (-1, 4). Make sure your final answer is in slope-intercept form

Given:

The equation of a line is

         ...(i)

The perpendicular line passes through the point (-1,4).

To find:

The equation of the perpendicular line.

Solution:

The slope intercept form of a line is:

           ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

Product of slopes of two perpendicular lines is -1.

Let the slope of perpendicular line is .

The slope of the perpendicular line is and it passes through the point (-1,4). So, the equation of the line is:

Add 4 on both sides.

Therefore, the equation of required line is .

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

21.4 i did it already for s1

step-by-step explanation: