Algebra Practice Test 2025 – Complete Exam Preparation

Question: 1 / 400

If a linear equation has a slope of 2 and passes through the point (3, 5), what is the y-intercept?

1

3

-1

7

To determine the y-intercept of a linear equation given its slope and a point it passes through, you can start with the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

Here, \(m\) is the slope, and \((x₁, y₁)\) is a point on the line. In this case, the slope \(m\) is 2, and the point is (3, 5).

Substituting these values into the equation, we have:

y - 5 = 2(x - 3)

Now, simplify the equation:

y - 5 = 2x - 6

Next, add 5 to both sides:

y = 2x - 1

In this equation, the y-intercept is the constant term when x = 0. From the equation, it's clear that the y-intercept is \(-1\), as this is the value of y when x equals 0.

This leads us to conclude that the correct answer identifying the y-intercept is -1, which matches the intuition of the linear relationship defined by the slope and point. The other options do not satisfy the

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