How can the slope, x intercept and y intercept of a line be found from the graph of the line?

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justaguide | College Teacher | (Level 2) Distinguished Educator

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Once you have drawn the graph, look for the points where the line meets the x-axis and the y-axis. The x-coordinate of the point where the line meets the x-axis is the x- intercept, and the y-coordinate of the point where the line meets the y-axis is the y-intercept. Remember that if the line is vertical or horizontal it may be parallel to the y-axis or parallel to the x-axis and not intercept them.

To find the slope of the line, remember that the slope is the difference in the y-coordinate for a unit change in the x-coordinates. So look for 2 points that differ in their x-coordinates by one unit and subtract their y-coordinates. The result is the slope of the line. The slope of a line can be negative, positive, zero or not defined.