Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.

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Graphing Lines Using Slope Intercept Form Goal: Graph lines in slope intercept form.

Slope-Intercept Form of the Linear Equation y = mx + b m = slope b = y-intercept Any linear equation which is solved for y is in slope-intercept form.

Graph Which graphing method is easiest? Using slope and y-intercept (or t-table)! These notes will graph using m and b m =, b = 2

Review: Graphing with slope-intercept 1.Start by graphing the y-intercept (b = 2). 2.From the y-intercept, apply “ rise over run ” using your slope. rise = 1, run = -3 3.Repeat this again from your new point. 4.Draw a line through your points Start here 1 -3

Which is the graph of y = x + 2?

Find the slope and y-intercept of the following linear equations: y = 3x + 4 m = 3b = 4 y = - 2x - 1 m = - 2b = - 1 y = x - 94 m = b = y = 5x m = 5b = 0

Write a linear equation in the form y = mx + b given the following. m = 2, b = -3 m =, b = 5 y = 2x - 3

Graph the following linear equation using slope and y-intercept. x y 1) Find the slope and y-intercept. Steps 2) Plot the y-intercept. m = 2 3 or m = ) Draw line through points. 3) Plot the slope

Graph the line which passes through (-2, 1) and has a slope of -3 Graph the line which passes through (-2, 1) and has a slope of -3. x y 1) Plot the point. Steps 2) Write slope as fraction and count off other points. m = - 3 = or m = ) Draw line through points.

Graph the line which passes through (3, 2) and has a slope of. x y 1) Plot the point. Steps 2) Write slope as fraction and count off other points. m = 3 4 or m = ) Draw line through points. 3 4

Write a linear equation in slope-intercept form to describe each graph. y = mx + b x y x y b = 3 y = 2x + 3 b =

The y-intercept is – 2, so plot the point (0, – 2) where the line crosses the y -axis. The equation is already in slope- intercept form. Graphing with the Slope-Intercept Form S OLUTION Graph y = x – Draw a line through the two points. The slope is, so plot a second point on the line by moving 4 units to the right and 3 units up. This point is (4, 1). 3 4 (4, 1)(4, 1) (0, – 2) 3 4 (4, 1).