Question

Which form most quickly reveals the y-intercept? Choose 1 answer.

A) Slope-intercept form (y = mx + b)
B) Point-slope form (y - y₁ = m(x - x₁))
C) Standard form (Ax + By = C)
D) Vertex form (y = a(x - h)² + k)

Answer 1

The slope-intercept form (y = mx + b) directly shows the y-intercept, making it the fastest way to identify the point where the line crosses the y-axis.

Step-by-step explanation:

The slope-intercept form of a linear equation is most efficient for quickly identifying the y-intercept. This form is written as y = mx + b, where m represents the slope and b represents the y-intercept. When the equation is in this form, the y-intercept is explicit as the constant term b, and it indicates the point where the line crosses the y-axis. Other forms, such as the Point-slope form (y - y₁ = m (x - x₁)), Standard form (Ax + By = C), and Vertex form (y = a (x - h) ² + k) do not directly present the y-intercept and may require additional steps to isolate it.