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  1. In this section, we outline a process to easily determine two points using the \(y\)-intercept and the slope. The equation of any nonvertical line can be written in slope-intercept form \(y=mx+b\). In this form, we can identify the slope, \(m\), and the \(y\)-intercept, \((0, b)\).

  2. The y-intercept of a graph is the point where the graph crosses the y-axis. Since the y-intercept is a point on the y-axis, its x-coordinate is always 0. Thus, the coordinates of the y-intercept are of the form (0, y).

  3. Practice determining which feature of a linear model (the slope, the x-intercept, or the y-intercept) is useful for answering a given question in context.

  4. The y-intercept is the $y$-coordinate of the point where the graph of a linear equation intersects the $y$-axis, when $x = 0$. In the standard form of a linear equation, $y = mx + b$, the $y$-intercept is represented by the constant term $b$.

  5. The y-intercept is a point on the graph of a function or equation where the line or curve intersects the y-axis. It is the value of the dependent variable (y) when the independent variable (x) is zero.

  6. Learn how to graph a line using Slope and y-intercept. Know the equation of the line, identify the values of slope and y-intercept, and easily plot the line!

  7. Y-Intercept of a Straight Line. Where a line crosses the y-axis of a graph. Just find the value of y when x equals 0. Example: In the above diagram the line crosses the y axis at y = 1. Example: Here the line crosses the y axis at y = −2. Point. The y-intercept is an (x,y) point with x=0, so we show it like this (try dragging the points):

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