PLEASE ANSWER, WILL GIVE BRAINLIEST! Find the value of b if the graph of the equation y= -3x+b goes through the given point.
A (-2,4)

y-intercept (b) = -2

Step-by-step explanation:

Given the linear equation, y = -3x + b, and point A (-2, 4):

Plug in the values of Point A to find the y-intercept, b:

y = -3x + b

4 = -3(-2) + b

4 =  6 + b

Subtract 6 to both sides of the equation to solve for b:

4 - 6 = 6 + b - 6

-2 = b

Therefore, the y-intercept, b = -2.  This means that the line crosses the y-axis at (0, -2).

The linear equation is: y = -3x - 2

Explanation:

We'll plug in x = -2 and y = 4 due to the point (-2,4) that we want the line to go through. Then we'll solve for b.

y = -3x+b

4 = -3(-2)+b

4 = 6+b

4-6 = b

-2 = b

b = -2

Therefore, the equation y = -3x+b updates to y = -3x-2