Question

find the value of b if it is known that the graph of y=-3x+b goes through the point M (-2,4)

Answer 1

Answer:

$y = 3x + b \\ 4 = 3( - 2) + b\\ 4=-6+b\\ b = 6 + 4 \\b =10$

Answer 2

Given y = -3x + b, and point M (-2, 4):

Substitute the coordinates of Point M into the equation to solve for the y-intercept, b:

y = -3x + b
4 = -3(-2) + b
4 = 6 + b

Subtract 6 from both sides to isolate b:
4 - 6 = 6 - 6 + b
-2 = b

Therefore, the y-coordinate of the y-intercept (0, -2), is:

b = -2

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