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The slope-intercept form - Mathematics resources

The slope -intercept formmc-bus- slope -2009-1 IntroductionOne form of the equation of a straight line is called theslope- interceptform because it containsinformation about these two equation of a straight lineAny equation of the formy=mx+cwheremandcare fixed numbers, ( constants), has a graph which is a straight example,y= 3x+ 5,y=23x+ 8andy= 3x 7all have graphs which are straight slope and intercept of a straight lineIn the equationy=mx+cthe value ofmis called theslope, (or gradient), of the line . It can bepositive, negative or zero. Lines with a positive gradient slope upwards, from left to right. Lines witha negative gradient slope downwards from left to right. Lines with a zero gradient are line has a positive gradientthis line has a negative gradientthe gradient of this line is zeroyyxxThe value ofcis called thevertical interceptof the line . It is the value ofywhenx= 0. Whendrawing a line ,cgives the position where the line cuts the vertical vertical intercept is negativeythe vertical intercept is mathcentre 2009 ExampleDetermine the gradient and vertical intercept of each )y= 12x 6, b)y= 5 2x, c)4x y+ 13 = 0, d)y= 8, e)y= ) Comparingy= 12x 6withy=mx+cwe see thatm= 12, so the gradient of the line is fact that this is positive means that the line slopes upwards as we move from left to right.

The slope-intercept form mc-bus-slope-2009-1 Introduction One form of the equation of a straight line is called the slope-interceptform because it contains

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