What is the y-intercept of the line given by the equation y = -2x + 5?

What is the y-intercept of the line given by the equation y = -2x + 5?

• A. 2
• B. 3
• C. 4
• D. 5

Answer: (D)

To find the y-intercept of the line represented by the equation \( y = -2x + 5 \), we need to determine the value of \( y \) when \( x \) is equal to 0. The y-intercept is the point where the line crosses the y-axis, which happens when the value of \( x \) is zero. Substituting \( x = 0 \) into the equation: \[ y = -2(0) + 5 \] This simplifies to: \[ y = 0 + 5 \] Thus, \( y = 5 \). Therefore, the y-intercept of the line is 5. This means that on the graph, the line will cross the y-axis at the point (0, 5). The other options do not accurately reflect this value, confirming that 5 is indeed the correct answer.

To find the y-intercept of the line represented by the equation ( y = -2x + 5 ), we need to determine the value of ( y ) when ( x ) is equal to 0. The y-intercept is the point where the line crosses the y-axis, which happens when the value of ( x ) is zero.

Substituting ( x = 0 ) into the equation:

[

y = -2(0) + 5

]

This simplifies to:

[

y = 0 + 5

]

Thus, ( y = 5 ). Therefore, the y-intercept of the line is 5.

This means that on the graph, the line will cross the y-axis at the point (0, 5). The other options do not accurately reflect this value, confirming that 5 is indeed the correct answer.