This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is a professor of mathematics at the City College of San Francisco and previously a professor in the mathematics department at Saint Louis University. elementary school secondary He has taught mathematics at the high school and college levels. He holds an MA in Education with a specialization in management and supervision from Saint Louis University.
How To Write An Equation In Slope Intercept Form
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Writing Equations Wkst
Intercept form is a common way to represent a linear equation. The diagonal cross-section is written in the form y=mx+b — to complete or solve the letters; The x and y values represent the x and y coordinates of a line; where the rate of m increased “Rate of change” is the ratio m=ΔyΔx=y2−y1x2−x1}=}} (Δ = delta = change); and b is the y-intercept (where the line crosses the y axis, ) The beauty of the slope-intercept or y = mx + b is that it’s quick and easy to graph the line. All you have to do is use its slope and y-intercept. If you’re wondering how to use the slope intercept form, you’ve come to the right place.
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This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is a professor of mathematics at the City College of San Francisco and previously a professor in the mathematics department at Saint Louis University. elementary school secondary He has taught mathematics at the high school and college levels. He holds an MA in Education with a specialization in management and supervision from Saint Louis University. This article has been viewed 194,952 times. Important Question #1 Can you write the equation of the line given the y-intercept? You have a slope of -3 and a y-intercept of 4. What is the slope-intercept equation? Cross-Cutting Equation: y = m x + b Substitute “-3” for m and “4” for b y = (-3) x + (4) Working form f(x) = -3 x + 4 Try it – slope: 2 Y-intercept: 9 slope: -3 Y-intercept: 0 y = 2x + 9 y = -3 x Function Form: In function form f(x) = 2x + 9 f(x) = -3 x
Important Question #2 How can you write a linear equation given the graph of a linear function? What is the slope of the line? Y2 – Y1 2 – (-2) 4 m= = = = 2 (2, 2) X2 – X1 2 – (0) 2 What is the y-intercept of the line? (0, -2) (0, -2) Can you write a function in slope-intercept form for this line? If so, how does it work? y = mx+b or y = 2 x – 2 or function form f(x) = 2 x – 2
Writing Equations Point Slope & Slope Intercept Form Notes Homework Editable U3
3 Important Question #3 Can you write the equation of a line given two points? m= Y2 – Y1 X2 – X1 Step 1: Find the slope. Step 2: Find the y-intercept. slope m and the coordinates of one of the points in slope-intercept form; Substitute y = mx + b and solve for the y-intercept b. Step 3: Write an equation of the line. slope m and y-intercept b in additive-intercept form; Substitute y = mx + b.
4 For example, write an equation of the line that passes through the points (1, -3) and (3, 5). (x2, y2) (x1, y1) m= 5– (-3) 3 – 1 m= 8 2 1. Find the slope. m = 4 2. Find the y-intercept. Select one of the ordered pairs. (Applied pairs result in the same y-intercept) (1, -3) Using (3, 5) y = mx + b y = mx + b -3 = 4(1) + b 5 = 4(3) + b -3 = 4 + b 5 = 12 + b -7 = b -7 = b,
Intercept and y-intercept y = mx + b m = and b = -7 y = 4x – 7 Example You will try: 1. Find the equation of the line that passes through the points (1, 6) and (3); letter-4). Step m= (-4) – (6) 3 – 1 1) Find slope m = -5 2) y-intercept b (6) = -5 (1) + b b = 11 3) Write the equation Y = -5x +11 or f(x) = – 5 x + 11 (working form)
6 Important Question #4 How would you mathematically model the equation of a line given a real-world problem? Sample Vocabulary: A line job that simulates a real-world situation The camp program offers a registration fee and a daily stipend. If the total bill for one camper is $338 for 12 days and the total bill for another camper is $506 for 19 days, how much will it cost the camper to register for 30 days? Define the independent variable (x) and the dependent variable (y). Because part of the bill depends on the number of days; The independent variable is the number of days. Write the matching pairs. (12, 338) and (19, 506) register the y-intercept (b). This value is unknown. Steps 1) Find the slope 2) Find the y-intercept b 3) Write the equation
Slope Intercept Equation From Slope & Point: Fractions (old) (video)
M= 506 – 338 19 – 12 m= 168 7 (12, 338) (19, 506) m = 24 y = mx + b 338 = 24(12) + b y = 24x This means the camper pays $24 per day; $50 registration fee. 338 = b 50 = b Find the cost if the camper stays 30 days. y = 24(30) + 50 y = y = $770 Write a summary of what you learned in this lesson.