Learn Before
Identifying the Slope and y-Intercept of
When a linear equation is already written in slope-intercept form , the slope and y-intercept can be identified by direct comparison — no algebraic manipulation is needed.
Given:
Step 1 — Write the slope-intercept form:
Step 2 — Compare the given equation to the form. Line up the given equation with the general form . The coefficient of takes the place of , and the constant term takes the place of .
Step 3 — Identify the slope: The coefficient of is , so .
Step 4 — Identify the y-intercept: The constant term is , so and the y-intercept is the point .
This example demonstrates the most straightforward case: when the equation is already in form, the slope and y-intercept can be read directly without any rearranging.
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Elementary Algebra @ OpenStax
Ch.4 Graphs - Elementary Algebra @ OpenStax
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