Question

6. If the equation y = 3x + b represents a line that passes through the

given point, determine the value of the y-intercept, b
b) (-3,2)

Answer 1

The value of the y-intercept, b, for the line y = 3x + b that passes through the point (-3, 2) is 11.

Step-by-step explanation:

If the equation y = 3x + b represents a line that passes through the given point (-3, 2), we need to determine the value of the y-intercept, b.

The point (-3, 2) means that when x is -3, y is 2.

Plugging these values into the equation gives us 2 = 3(-3) + b.

This simplifies to 2 = -9 + b.

To solve for b, we add 9 to both sides of the equation, resulting in b = 11.

Therefore, the value of the y-intercept for the given line is 11.