What is an equation of the line that is perpendicular to y - 3 = -4 x+2

y-7=1/4(x+5)

Step-by-step explanation:

y-3=-4(x+2)

y=4(x+2)+3

y=4x+8+3

y=4x+11

perpendicular line has the opposite reciprocal of the function

y=-1/4 x+b    to find the line passes through point (-5,7)

find b when x=-5 and y=7

y=7 or y-7=0

x=-5 or x+5=0

7=-1/4 (-5)+b

b=7+5/4

b=(28+5)/4=33/4

y=-1/4x+33/4

which is equivalent to

y-7=1/4(x+5)

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)