Which equation represents a line that is parallel to y = 4x + 3 and passes through the point (-3, 2)

A

Step-by-step explanation:

The first thing we shall do here is to get the slope of the first line.

Mathematically, to get this, we shall compare the given equation with the general equation of a line

The general equation of a line is ;

y = mx + c

where m is the slope and c is the y intercept

By comparison, y = -4x + 3 has a slope of -4

Now, since we are going to form a second equation, we shall be needing the slope of the second equation too. By mathematical convention, the slope of two lines which are parallel to each other are equal.

So practically, what this means is that the slope of the second line too is -4

Using the slope point form, we can find the equation of the second line too;

Mathematically, that will be;

y-y1/x-x1 = m

Thus;

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

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

y-2 = -4(x + 3)

y-2 = -4x -12

y = -4x -12 + 2

y = -4x -10

Hope this helps!! :D

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.