What is the y-intercept of the line given by the equation 2x + 5y - 10 = 0? (201

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Question: What is the y-intercept of the line given by the equation 2x + 5y - 10 = 0? (2019)

Options:

Correct Answer: 2

Exam Year: 2019

Solution:

Rearranging to y = (-2/5)x + 2, the y-intercept is 2.

What is the y-intercept of the line given by the equation 2x + 5y - 10 = 0? (2019)

What is the y-intercept of the line given by the equation 2x + 5y - 10 = 0? (2019)

Step 1: Start with the equation of the line: 2x + 5y - 10 = 0.
Step 2: Rearrange the equation to solve for y. First, move 2x and -10 to the other side: 5y = -2x + 10.
Step 3: Now, divide everything by 5 to isolate y: y = (-2/5)x + 2.
Step 4: The y-intercept is the value of y when x is 0. In the equation y = (-2/5)x + 2, when x = 0, y = 2.
Step 5: Therefore, the y-intercept of the line is 2.

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