Identify the equation of a line perpendicular to y=3/5x-6 and passing through (1,4)
in slope-intercept form

The equation of perpendicular line is  

y

=

−

5

3

x

+

17

3

.

Explanation:

The slope of the line  

y

=

3

5

x

−

6

is  

m

1

=

3

5

[obtained by

comparing standard slope-intercept form of line with slope

m

;

y

=

m

x

+

c

] . We know the product of slopes of two

perpendicular lines is  

−

1

, i.e  

m

1

⋅

m

2

=

−

1

or

3

5

⋅

m

2

=

−

1

or  

m

2

=

−

5

3

. Let the equation of perpendicular line in

slope - intercept form is  

y

=

m

x

+

c

;

m

=

m

2

=

−

5

3

∴

y

=

−

5

3

x

+

c

. The line passes through point  

(

1

,

4

)

, which

will satisfy the equation of line  

∴

4

=

−

5

3

⋅

1

+

c

∴

c

=

4

+

5

3

or  

c

=

17

3

Hence the equation of perpendicular line is

y

=

−

5

3

x

+

17

3

70,000 + 6,000 + 800 + 30

step-by-step explanation:

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.