X and Y Intercepts.

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Presentation transcript:

X and Y Intercepts

X-intercept: the x-intercept of a line is where it crosses the x axis So, set y=0 in the equation and solve for x. x-intercept as an ordered pair is always x value and y=0 (#,0)

Y-intercept: the y-intercept of a line is where it crosses the y axis So, set x=0 in the equation and solve for y. y-intercept as an ordered pair is always y value and x=0 (0,#)

DO NOT PUT THE X VALUE AND Y VALUE TOGETHER AS ONE ORDERED PAIR!!!! They are 2 different points (#,0) and (0,#)

A Quick Way to Graph an Equation: Find where the line crosses the x and y axis Plot the intercepts Connect the two points.

Plug in x=0 and solve for y Plug in y=0 and solve for x Find the x and y-intercepts and graph 2x+3y=12 Find y-intercept: Plug in x=0 and solve for y Find x-intercept: Plug in y=0 and solve for x 2x+3y=12 2x+3y=12 2(0)+3y=12 2x+3(0)=12 3y=12 2x=12 y=4 x=6 (6, 0) (0, 4)

To Graph: (0, 4) (6, 0) Plot the x and y intercepts Connect the dots! 5 4 3 (0, 4) (6, 0) 2 1 -4 -3 -2 -1 1 2 3 4 5 6

Plug in x=0 and solve for y Plug in y=0 and solve for x Find the x & y intercepts and graph -4x+6y=18 Find y-intercept: Plug in x=0 and solve for y Find x-intercept: Plug in y=0 and solve for x -4x+6y=18 -4x+6y=18 -4(0)+6y=18 -4x+6(0)=18 6y=18 -4x=18 y=3 x=-4 ½ (0, 3) (-4 ½ , 0)

Graph 6 (0, 3) (-4 ½ , 0) 5 4 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 6

Find y-intercept: it’s the b in y=mx+b Plug in y=0 and solve for x Find the x & y intercepts and graph y=-3/2x + 9 Find y-intercept: it’s the b in y=mx+b Find x-intercept: Plug in y=0 and solve for x y=-3/2x+9 y=-3/2x+9 0=-3/2x+9 b=9 -9=-3/2x 6=x (0, 9) (6 , 0)

Graph 9 (0, 9) (6 , 0) 8 7 6 5 4 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 6 *double check graph in slope-intercept form – start at 9?, slope down 3 over 2?