Carry The Two

Slope The slope of a line tells you how steep the line is. Formula To find the slope of a line, we take the change in y divided by the change in x: Some call this equation "rise over run": Therefore, in order to find the slope, you divide the difference of the y-coordinates of a point or a line by the difference of the x-coordinates. Problem #1 What is the slope? Step 1 Select any 2 points on the line Point 1: (-1, -2) Point 2: (2, 2) Step 2 Put those point into the slope formula Therefore: = 4/3 Answer: The slope of the line is 4/3 Problem #2 What is the slope? Step 1 Select any 2 points on the line Point 1: (-2, 5) Point 2: (-4, 4) Step 2 Put those point into the slope formula Therefore: = -1/-2 which equals: 1/2 Answer: The slope of the line is 1/2

Slope-Intercept Form Slope-intercept form is written as follows: y = mx + b 'm' is the slope 'b' is the y-intercept Problem #1 Write an equation in slope-intercept form for a line whose slope is 5 and whose y-intercept is 7. Step 1 Remember that slope-intercept form is written: y = mx + b Step 2 Plug-in the given slope (5) and y-intercept (7): Answer:  y = 5x + 7 Problem #2 Identify the slope and y-intercept of the following equation: y = -x + 3 Step 1 Determine the slope: Although there is no number in the 'm' portion of the equation, since it is '-x' the slope is -1 Step 2 Determine the y-intercept: In this equation the y-intercept is 3 Answer:  Slope = -1; y-intercept = 3 You may find the following video helpful: https://www.youtube.com/watch?v=u3spOO-m_Gg