Lesson 4.4 Objective: To graph a line on a coordinate plane only using the slope and the y-intercept. Essential Question: How can I graph an equation without making a table? y = mx + b y-intercept Slope Slope: the slant of the line. Rise over the run y-intercept: The location where the line crosses the y-axis

EXAMPLE 1 m = 1 m = -3 m = 0 m = -1 m = -2 b = 2 b = -4 b = 3 b = 0 Writing equations in slope-intercept form Equation Slope y-intercept m = 1 m = -3 m = 0 m = -1 m = -2 b = 2 b = -4 b = 3 b = 0 b = 6 y = 1x + 2 y = -3x – 4 y = 0x +3 or y = 3 y = -x + 0 or y = -x e) 2x + y = 6 Rewrite (subtract 2x) -2x -2x y = -2x + 6

EXAMPLE 2 Find the slope and the y-intercept Plot the y-intercept Graphing Using Slope and y-intercept Graph the equation y = 2x + 4 Find the slope and the y-intercept y m =2 or b = 4 1 Plot the y-intercept 2 Use slope to plot second point x Draw a line through the two points

EXAMPLE 3 You try it Graph the equation y = 3x - 1 Find the slope and the y-intercept y m =3 or b = -1 Plot the y-intercept Use slope to plot second point 1 Draw a line through the two points x 3

EXAMPLE 4 You try it Graph the equation Find the slope and the y-intercept m = b = 2 y Plot the y-intercept Use slope to graph second point Draw a line through the two points -2 x 3

EXAMPLE 5 Graphing y = b Graph y = 2 y x y -3 2 4 y = 2 x

EXAMPLE 6 Graphing x = a Graph x = -3 y x y -3 -2 3 x = -3 x

What is the slope in the video example? What is the y-intercept? What's the first point you graph when graphing from slope intercept form?

Summarize how to graph an equation without making a table first.