Linear Equations in Two Variables Graphing Linear Equations.
Chapter 4 Notes Graphing Linear Equations and Functions.
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Transcript of Chapter 4 Notes Graphing Linear Equations and Functions.
4.1 Coordinates and Scatter Plots
Objectives:-Plot points in a coordinate plane-Draw scatter plots and make predictions about the data
T-Charts
Rules for t-ChartsEquations must be in function formChoose numbers for xSubstitute them in for xSolve for yRepeat to get a total of 3 values for your
function
Special Cases
When the equation has an X but no Y
Ex: x = 5
When the equation has a y but no x
Ex: y = 8
T-Charts
Rules for t-ChartsEquations must be in function formChoose numbers for xSubstitute them in for xSolve for yGraph the values
4.3 Quick Graphs Using Intercepts
Objectives:-Find the x and y intercepts-graph a linear equation using the x and y intercepts
Finding the x-intercept
X-intercepts always have ordered pairs in the form (#,0)
To find the x-intercept you plug 0 in for y and solve for x.
Finding the y-intercept
y-intercepts always have ordered pairs in the form (0,#)
To find the y-intercept you plug 0 in for x and solve for y.
Practice
Given the x and y intercepts graph the equation x-intercept = 2; x-intercept = -4;
y-intercepts = -3 y-intercepts = 5
Locating slope and intercept
Given an equation in y=mx+b form
m=slope (pattern) b= y-intercept (start pt.)
Slope must be a fraction !!!
How it works
1st you start on the y axis at the b value
2nd you use your slope to rise and run from the b value
Practice
Graph each of the following and tell the slope and intercept
Y = 2x – 3
Y= -3x – 2
Y= ½ x + 5