Algebra Practice Test 2025 – Complete Exam Preparation

Question: 1 / 400

Determine the y-intercept of the equation y = 6x + 4.

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To find the y-intercept of an equation, you need to determine the value of y when x equals zero. This is a key concept in understanding the graphical representation of linear equations, where the y-intercept is the point at which the line crosses the y-axis.

In the equation y = 6x + 4, substitute x with 0:

y = 6(0) + 4

y = 0 + 4

y = 4

Thus, when x is zero, y equals 4. This indicates that the line intersects the y-axis at the point (0, 4). Therefore, the y-intercept of the equation is correctly identified as 4. This understanding is foundational when graphing linear equations, as the y-intercept provides a starting point on the y-axis that can be used along with the slope to sketch the line.

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