Transcription of Graphing - Slope-Intercept Form - CCfaculty.org
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Graphing - Slope-Intercept Form - CCfaculty.org
- Slope-Intercept FormObjective: Give the equation of a line with a known slope and Graphing a line we found one method we could use is to makea table ofvalues. However, if we can identify some properties of the line, we may be able tomake a graph much quicker and easier. One such method is finding the slope andthe y-intercept of the equation. The slope can be represented bymand the y-intercept, where it crosses the axis andx= 0, can be represented by(0, b)wherebis the value where the graph crosses the vertical y-axis. Anyother point on theline can be represented by(x, y). Using this information we will look at the slopeformula and solve the formula ,(0, b),(x, y)Using the slope formula gives:y bx 0=mSimplifyy bx=mMultiply both sides byxy b=mxAddbto both sides+b+by=mx+bOur SolutionThis equation,y=mx+bcan be thought of as the equation of any line that as aslope ofmand a y-intercept ofb.
slope of m and a y-intercept of b. This formula is known as the slope-intercept equation. Slope− InterceptEquation: y = mx + b If we know the slope and the y-intercept we can easily find the equation that rep-resents the line. Example 2. Slope= 3 4,y − intercept= − 3 Usetheslope− interceptequation y= mx + b mistheslope,bisthe y − ...
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