Ontario Mathematics Proficiency Practice Test

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In the context of graphing, what does the term 'intercept' refer to?

The point where two lines meet

The point where a line touches an axis

The term 'intercept' in graphing specifically refers to the point where a line touches an axis. Typically, there are two types of intercepts: the x-intercept and the y-intercept. The x-intercept is where the line crosses the x-axis, meaning the y-coordinate at this point is zero. Similarly, the y-intercept is where the line crosses the y-axis, indicating that the x-coordinate is zero at this point.

Recognizing intercepts is fundamental for understanding linear equations and for graphing lines, as it provides clear points that can be used to draw the line accurately. For instance, if you have the equation of a line, finding its intercepts allows you to plot the line more easily and understand its behavior relative to the axes. This is distinctly different from other concepts like the point where two lines meet, which refers to an intersection, or the slope, which describes the steepness of a line rather than a specific location on a graph.

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The distance from the origin to a point

The slope of a line

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