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The slope-intercept form The slope-intercept form y = mx + b The slope-intercept form y = mx + b always has y... The slope-intercept form y = mx + b always has y... ...absolutely... The slope-intercept form y = mx + b always has y... ...absolutely... ...totally... The slope-intercept form y = mx + b always has y... ...absolutely... ...totally... ...all by itself. The slope-intercept form y by itself y = mx + b always has y... ...absolutely... ...totally... ...all by itself. The standard form The standard form Ax + By = C The standard form Ax + By = C always has... The standard form Ax + By = C always has... x and y on one side, x and y on one side The standard form Ax + By = C always has... x and y on one side, The standard form Ax + By = C and everything else on the other side always has... x and y on one side, The standard form Ax + By = C and everything else on the other side always has... x and y on one side, everything else 2x + 3y = 4 Standard ? Match the equation with its form. Slope-intercept ? y = 2x + 5 an equation To change any equation x + y = 5 To change any equation x + y = 5 into slope intercept form To change any equation x + y = 5 into slope intercept form y = mx + b To change any equation x + y = 5 into slope intercept form y = mx + b you have to get y by itself This y needs to be alone To change any equation x + y = 5 into slope intercept form y = mx + b you have to get y by itself To do this we use Algebra To do this we use Algebra x + y = 5 To do this we use Algebra x + y = 5 we need to get y by itself so we need to get rid of the x To do this we use Algebra x + y = 5 we need to get y by itself To do this we use Algebra -x x + y = 5 -x subtract x on both sides To do this we use Algebra -x x + y = 5 -x subtract x on both sides to get rid of the x To do this we use Algebra x - x cancels -x x + y = 5 -x subtract x on both sides to get rid of the x To do this we use Algebra x - x cancels Leaving just y on that side -x x + y = 5 y = -x subtract x on both sides to get rid of the x To do this we use Algebra are not like terms since 5 and -x -x x + y = 5 y = -x subtract x on both sides to get rid of the x we can't add them To do this we use Algebra are not like terms since 5 and -x -x x + y = 5 y = -x subtract x on both sides to get rid of the x we can't add them To do this we use Algebra are not like terms since 5 and -x -x x + y = 5 y = -x + 5 -x leaving us with this subtract x on both sides to get rid of the x To do this we use Algebra The y is by itself now -x x + y = 5 y = -x + 5 -x To do this we use Algebra so this equation is in slope-intercept form The y is by itself now -x x + y = 5 y = -x + 5 -x standard equation We changed this x + y = 5 y = -x + 5 standard equation We changed this x + y = 5 y = -x + 5 slope-intercept equation into this y = 2x + y = 3 x + y = -2x + y = -5 x + y = 4x + y = 7 x + x + y = y = -2x +5 x + y = y = 4x +12 |