Algebra: Graphing Linear Equations by Bucaro Stephen

Author:Bucaro, Stephen [Bucaro, Stephen]
Language: eng
Format: epub
Publisher: UNKNOWN
Published: 2020-06-19T16:00:00+00:00

Starting with a point at the y-intercept of 3,

Then use the slope rise/run, but its negative so it will go downhill, so we will drop 3 units and run 4 units to find the next point.

Once we have both points, connect the dots to get our graph.

We want to be very careful not to confuse using slope to find the next point with use a coordinate such as (4,-2) to find an individule point. Coordinates such as (4, - 2) start from the origin and move horizontally first, and vertically second. Slope starts from a point on the line that could be anywhere on the graph. The numerator is the vertical change and the denominator is the horizontal change.

Lines with zero slope or no slope can make a problem seem very different. Zero slope, or horizontal line, will simply have a slope of zero which when multiplied by x gives zero. So the equation simply becomes y = b or y is equal to the y-coordinate of the graph. If we have no slope, or a vertical line, the equation can't be written in slope intercept at all because the slope is undefined. There is no y in these equations. We will simply make x equal to the x-coordinate of the graph.

Example 138

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