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Intro to Linear Equations Algebra 6 0, Given a domain it is easy to find the range for any linear equation. Find the range for the given domain,1 y 2x 3 D 3 2 1 0. 2 y 2x 3 D 6 1 4 9,Find the range for the given domain. 1 y 3x 7 D 3 2 1 0,2 y x 1 D 6 3 0 3 6,3 2 y 6 x 10 D 1 1 3 5. In problems like 3 above it helps a lot to solve for y before plugging in. values for the domain, Find the range for the given domain Begin by solving for y.
1 2y 7 4x 5 D 3 2 1 0,2 3 y 6 9 x D 6 3 0 3,3 5 y 3 x 10 D x 5. Name Period,Intro to Linear Equations Algebra 6 0, For each graph below state the domain and range using an inequality. List the Domain and Range for each set of points listed below. 5 9 1 8 2 7 3 6 4 5 5,6 3 3 3 4 3 5 3 6,7 y x 3 for x 3 4 5 and 6. 8 y 2x 5 for x 3,8 Domain D x 3,Name Period,Intro to Linear Equations Algebra 6 0. Given each domain below find the range for each equation Solve for y where necessary. 9 y 2 x 3 D 1 0 1 2,10 y x 5 D 4 2 0 2,11 3 y 6 x 12 D 5 3 1 5.
12 x y 4 D 4 1 1 9,13 3y x 6 D 3 0 3 9,14 5 y 3x 10 D 15 10 5 0. 15 2 x y 3x 7 D 4 4 12 20,Graphing A Linear Equation Algebra 6 0. To graph a Linear Equation,1 Solve for y,2 Setup a table of x and y values. 3 Plot at least three coordinates and connect them. Plot each of the following equations on the same graph. Graphing A Linear Equation Algebra 6 0, Plot each of the following equations on the same graph. 3 3 y 12 2 x, Plot each of the following equations on the same graph.
Name Period,Graphing Linear Equations Algebra 6 0,Graph each equation below on the graphs provided. 1 y x 9 2 3y 2x 12,3 6x 2 y 4 4 y 3 x 6,Name Period. Graphing Linear Equations Algebra 6 0,Graph each equation below on the graphs provided. 5 4 y 11 3 x 1 6 2x 6 3 y x,x 2y 8 y 5,Standard Form Algebra 6 0. Standard Form of a linear equation,2x y 6 3x 7 y 21 2x 6 y 1.
Examples above are Linear Equations written in Standard Form. Here is Standard Form MEMORIZE THIS,1 No absolute value exponents square roots etc. 2 1 or 2 variables A and B cannot both be zero, 3 All linear equations can be written in Standard Form. 4 A B and C are Integers not fractions A should be positive. Label the values for A B and C in each linear equation below. 1 2x y 6 2 3x 7 y 21 3 x 7, Convert each equation below into Standard Form if possible. Get both variables ON THE SAME SIDE OF THE EQUATION. 1 y 3x 5 2 y x 3, Convert each equation below into Standard Form if possible. 1 y 5 x 2 y x 3 x x 1 y,Name Period,Standard Form Algebra 6 0.
Convert each equation below into Standard Form,Remember to remove all fractional coefficients. 1 x y 3 2 3y 7 2x,3 y 4 2 x 2 10 y,5 x 7 6 2 y 12,7 x 4y 8 5 y 2x. 9 x y 3 10 x y 2,11 x y 7 12 x y,Name Period,Standard Form Algebra 6 0. Each Equation below is written in Standard Form, Solve each for y create a table of values and graph each. 13 x y 3 14 6 x 3 y 12,15 3x y 6 16 x 2y 6,Standard Form and Intercepts Algebra 6 0.
On a graph the x intercept is where the line crosses the x axis. The y intercept is where a line crosses the y axis. Look at the graphs below and give the coordinates of. the x and y intercepts,The x intercept always occurs where y equals. The y intercepts always occurs where x equals,Set y 0 to find the x intercept. Set x 0 to find the y intercept,Examples Find the x and y intercepts of each. We will call this the coverup method,1 3x y 12 2 2x 5 y 4 3 2x 3 y 8. Practice Find the x and y intercepts of each,1 5x 3y 30 2 x 7 y 11 3 x y 7.
Standard Form and Intercepts Algebra 6 0, Each line below goes with one of the linear equations on the left. Match each equation with its graph by finding the intercepts. 1 2 x 3 y 12,2 3 x 5 y 10 C, Practice Graph each of the following using the intercepts. 1 5 x 3 y 15,Name Period,Standard Form and Intercepts Algebra 6 0. Determine the x and y intercepts for each equation below. Convert to Standard Form where necessary,1 x 3 y 9 2 5x 2 y 10. x int x int,y int y int,3 x 9y 7 4 2x 7 y 3,x int x int.
y int y int,5 x 9 3y 6 3y 2x 5,x int x int,y int y int. 7 y 2x 3 8 2 x 12 4 y,x int x int,y int y int,x int x int. y int y int,x int x int,y int y int,Name Period,Standard Form Algebra 6 0. Graph each equation below using the intercepts, Connect the intercepts Intercepts are all whole numbers. Intro to Linear Equations Algebra 6 0 Linear Equations y 2x 7 5 2 1 y x 2x 3y 12 Linear Equations generally contain two variables x and y In a linear equation y is called the dependent variable and x is the independent variable This is because y is dependent on what you plug in for x The domain of a linear equation is the set of all x coordinates and the range is the set of all y