today in algebra warm up: writing equation in slope- intercept form, then identifying the slope…
DESCRIPTION
4.6 DIRECT VARIATION : a linear equation shows direct variation when… the y-intercept is 0! With direct variation we call the slope: CONSTANT OF VARIATIONTRANSCRIPT
TODAY IN ALGEBRA…
Warm Up: Writing equation in slope-intercept form, then identifying the slope and y-intercept
Learning Goal: 4.6 You will write and graph direct variation equations.
Independent Practice
WARM UP: SLOPE-INTERCEPT FORM: Identify the slope and y-intercept of the line with the given equation. 1. 2.
Or
Or
4.6 DIRECT VARIATION : a linear equation shows direct variation when… the y-intercept is 0!
Example: Y varies directly with x by a constant of
With direct variation we call the slope: CONSTANT OF VARIATION
1. 2.
4.6 DIRECT VARIATION: Writing in slope-intercept form to check for direct variation.EXAMPLE: Tell whether the equation represents direct variation. If so, identify the constant of variation.
𝑛𝑜𝑡 𝑑𝑖𝑟𝑒𝑐𝑡 𝑣𝑎𝑟𝑖𝑎𝑡𝑖𝑜𝑛
4.6 DIRECT VARIATION: Writing in slope-intercept form to check for direct variation.PRACTICE: Tell whether the equation represents direct variation. If so, identify the constant of variation.1. 2. 3.
Graph
Slope = : Run is always to the right.
Direct variation graphs always start at
Graph
Slope = : Change into a fraction.
Direct variation graphs always start at
Graph
Slope = : Negative goes down first.
Direct variation graphs always start at
4.6 DIRECT VARIATION: Write and use direct variationEXAMPLE: The graph of a direct variation equation is shown.a. Write the direct variation equation.b. Find the value of
a. Start with the direct variation equation and plug in points and solve for m:
Write equation with m:
b. Plug in into equation then solve:
4.6 DIRECT VARIATION: Write and use direct variationPRATICE: Write the direct variation equation of a line that passes through the point . Then find the value of
a. Start with the direct variation equation and plug in points and solve for m:
Write equation with m:
b. Plug in into equation then solve:
HOMEWORK #6:
Pg. 256: 3-27 odd, 40, 41
If finished, work on other assignments:
HW #1: Plotting points and graphing WSHW #2: Pg. 219: 1-33 oddHW #3: Pg. 229: 1-41 odd, 45HW #4: Pg. 239: 4-7, 9-19 odd, 24-26HW #5: Pg. 247: 1-37 odd, 40