What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
3
y=-3x+33

y = 4x + 16

Step-by-step explanation:

We are asked to find the equation of a line parallel to

y - 1 = 4(x + 3)

Step 1 : find the slope

y - 1 = 4(x + 3)

Open the bracket with 4

y - 1 = 4x + 12

making y the subject of the formula

y = 4x + 12 + 1

y = 4x + 13

Slope m = 4

Step 2 : substitute m into the equation

y - y_1 = m( x - x_1)

y - y_1 = 4(x - x_1)

Step 3: substitute the point into the equation

( 4 , 32)

x_1 = 4

y_1 = 32

y - y_1 = 4( x - x_1)

y - 32 = 4(x - 4)

Open the bracket with 4

y - 32 = 4x - 16

Make y the subject of the formula

y = 4x - 16 + 32

y = 4x + 16

Therefore, the equation of the line is

y = 4x + 16

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional