Determine the y-intercept of the line given by the equation 5x + 2y - 10 = 0. (2

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Question: Determine the y-intercept of the line given by the equation 5x + 2y - 10 = 0. (2021)

Options:

Correct Answer: 2

Exam Year: 2021

Solution:

Setting x = 0 in the equation gives 2y = 10, thus y = 5. The y-intercept is 5.

Determine the y-intercept of the line given by the equation 5x + 2y - 10 = 0. (2021)

Determine the y-intercept of the line given by the equation 5x + 2y - 10 = 0. (2021)

Step 1: Start with the equation of the line: 5x + 2y - 10 = 0.
Step 2: To find the y-intercept, set x = 0 in the equation.
Step 3: Substitute x = 0 into the equation: 5(0) + 2y - 10 = 0.
Step 4: Simplify the equation: 0 + 2y - 10 = 0, which simplifies to 2y - 10 = 0.
Step 5: Add 10 to both sides of the equation: 2y = 10.
Step 6: Divide both sides by 2 to solve for y: y = 10 / 2.
Step 7: Simplify the division: y = 5.
Step 8: The y-intercept is the value of y when x = 0, which is 5.

Linear Equations – Understanding how to manipulate and solve linear equations to find specific values such as intercepts.
Y-Intercept – Identifying the point where a line crosses the y-axis by setting x to zero.