4. What is the equation of line passing through (-2,4) and parallel to the line y
+ 3x = 4?

y=-3x-2

Step-by-step explanation:

step 1- find the slope

parallel to means same slope, so look at y+3x=4, its not in the correct slope form so we subtract both sides by 3x to get y=-3x+4, the slope is the coefficient of x which is -3. Slope equals 3

step 2- use the point slope form which is y-y1=m(x-x1)

and substitute in the numbers (only substitute y1,x1, and m)

m is the slope which we found to equal -3

x1 and y1 are the points that they gave us (-2,4) are (x1,y1)

x1=-2

y1=4

step 3- substitute

y-y1=m(x-x1)

y-4=-3(x-(-2))

simplifies to y-4=-3x-6

add 4 to both sides to get y=-3x-2

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

idk

step-by-step explanation: