Aim: How do we graph lines using a table? Do Now: Evaluate 3a – b for a = 2 and b = -5 List as many pairs whose sum is 6.

Evaluate 3a – b for a = 2 and b = -5

List as many pairs whose sum is 6. Can -1 and 7 be a pair? 5.5 and .5? π and 6 – π? 5.9999999 and . 0000001? 100 and – 94? 3 and 5? How do we express two numbers whose sum is 6? x + y = 6

When graphing… Label the x-axis and y-axis Plan how to scale (would it make more sense to count by 1s? 2s?) Make sure you move along the x-axis first, then the y-axis. Follow the order of the coordinate point (x,y)

List as many pairs whose sum is 6. x

x + y = 6 What do you think we call this equation? A linear equation is an equation whose graph forms a straight line.

Graphing a linear equation steps Create a table of values Plot points Draw a line through the points

Graph y = -2x + 4 x y =-2x + 4 y 1 2

x y 4 1 2

Try! Complete table of values and graph! y = 4x x y = 4x y

Practice: Graph the following equations: 1. y = 3x + 1 2. y = -3x 3. y = -2x + 4 4. 2x + 3 = y

Is (4,2) a solution for the equation 2x – y = 6?

Is (0,6) a solution to the equation 2x – y = 6?

Try! Is (4,-2) a solution to 2x – y = 6?

Practice! – state in each case whether the point whose coordinates are given is on the graph of the given equation X + y = 7 2) 2y + x = 7 3) 2y = 3x – 5 (4,3) (1,3) (-1,-4) When you are done, get the textbook and open to page 350. Do problems 10 – 12;

Is ( 3, 7) a solution to y = 2x – 1? Why or why not? Exit slip Is ( 3, 7) a solution to y = 2x – 1? Why or why not?