Answer:
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
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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
