Lake Zurich High School Graphing Lines slope & y-intercept & x- & y- intercepts Jeffrey Bivin Lake Zurich High School Jeff.bivin@lz95.org Last Updated: September 6, 2007

Graphing Lines slope and y-intercept Jeff Bivin -- LZHS

y = 2x + 1 y = 2x + 1 1 2 y-intercept b = 1 slope m = 2 Run Rise Jeff Bivin -- LZHS

y = -3x + 2 y = -3x + 2 1 -3 y-intercept b = 2 slope m = -3 Run Rise Jeff Bivin -- LZHS

Run 3 y-intercept b = -1 Rise 2 slope Jeff Bivin -- LZHS

Run 2 y-intercept Rise b = 3 -1 slope Jeff Bivin -- LZHS

Graphing Lines x- and y- intercepts Jeff Bivin -- LZHS

2x + 3y = 5 find the x value when y = 0 find the y value when x = 0 x-intercept 2x + 3(0) = 5 2x + 0 = 5 2x = 5 find the y value when x = 0 y-intercept 2(0) + 3y = 5 0 + 3y = 5 3y = 5 Jeff Bivin -- LZHS

4x - y = 6 find the x value when y = 0 find the y value when x = 0 x-intercept 4x - (0) = 6 4x - 0 = 6 4x = 6 find the y value when x = 0 y-intercept 4(0) - y = 6 0 - y = 6 -y = 6 Jeff Bivin -- LZHS

4x + 2y = 3 find the x value when y = 0 find the y value when x = 0 x-intercept 4x + 2(0) = 3 4x + 0 = 3 4x = 3 find the y value when x = 0 y-intercept 4(0) + 2y = 3 0 + 2y = 3 2y = 3 Jeff Bivin -- LZHS

3x - 2y = 7 find the x value when y = 0 find the y value when x = 0 x-intercept 3x - 2(0) = 7 3x - 0 = 7 3x = 7 find the y value when x = 0 y-intercept 3(0) - 2y = 7 0 - 2y = 7 -2y = 7 Jeff Bivin -- LZHS