What is the y-intercept of the line defined by \(y = -2x + 5\)?

What is the y-intercept of the line defined by \(y = -2x + 5\)?

• A. 2
• B. 5
• C. -2
• D. -5

Answer: (B)

To determine the y-intercept of the line defined by the equation \(y = -2x + 5\), we need to understand that the y-intercept is the point where the line crosses the y-axis. This occurs when the value of \(x\) is equal to 0. To find the y-intercept, we substitute \(x = 0\) into the equation: \[ y = -2(0) + 5 = 0 + 5 = 5 \] This calculation shows that when \(x\) is 0, \(y\) equals 5. Therefore, the y-intercept is \(5\), which corresponds to the point (0, 5) on the graph. Consequently, the correct answer of 5 indicates that this is the value of \(y\) at the point where the line intersects the y-axis.

To determine the y-intercept of the line defined by the equation (y = -2x + 5), we need to understand that the y-intercept is the point where the line crosses the y-axis. This occurs when the value of (x) is equal to 0.

To find the y-intercept, we substitute (x = 0) into the equation:

[

y = -2(0) + 5 = 0 + 5 = 5

]

This calculation shows that when (x) is 0, (y) equals 5. Therefore, the y-intercept is (5), which corresponds to the point (0, 5) on the graph.

Consequently, the correct answer of 5 indicates that this is the value of (y) at the point where the line intersects the y-axis.