Find an equation of the line passing through the point (-4,6) that is perpendicular to the line y=7/2x+5. work .

y = x + 4

Step-by-step explanation:

We are to find the equation of line 1 which passes through point (-4,6)

Line 1 is perpendicular to line 2.

The equation of line 2 is; y = x + 5

The slope of line 2 is  

Because the product of two perpendicular line is -1;

The slope of line 1 is -1 ÷   =  

Taking another point (x,y) on line 1;

Slope = change in y ÷ change in x

=

y - 6 =  (x + 4)

y - 6 =  x -

y =   - + 6

y = x + 4

A.Greg will need  mixed 2 cups of yellow paint with each cup of blue paint.

B. cup of blue paint

C.$9

Step-by-step explanation:

We are given that the ratio of the number of cups of yellow paint to the number of cups of blue paint that Greg mixed to make a shade of green paint is 2:1

A.

Ratio of number of cups of yellow paint to the number of cups of blue paint=2:1

Number of cups of yellow paint =2

Number of blue paint=1

It means Greg will need  2 cups of yellow paint mixed with each cup of blue paint.

B.2 cup of yellow paint  need cup of blue paint =1

1 cup of yellow paint need cup of blue paint=

Hence, the number of blue cups is should Greg add to each cup of yellow paint to make the shade of green.

C.If Greg purchased number of cups of yellow paint =6

Cos of 6 cup=$54

Cost of each cup =$9

Hence, the unit price per cup of yellow paint is $9.