# SOLUTION: Graph this equation 3 ways 2x+3y=1

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 Click here to see ALL problems on Graphs Question 75295: Graph this equation 3 ways 2x+3y=1Answer by rmromero(383)   (Show Source): You can put this solution on YOUR website!``` Graph this equation 3 ways 2x+3y=1 1. Make a table of values of x and y. Assume values of x then substitute them to 2x + 3y = 1. Plot the points connect with a line. If x = -2 if x = 2 2(-1) + 3y = 1 2(2) + 3y = 1 -2 + 3y = 1 4 + 3y = 1 3y = 3 3y = -3 y = 1 y = -1 x y -1 1 2 -1 Plot the two point (-2, 1) and (2, -1) 2. Locate x and y intercept. x -intercept crosses x axis so y = 0 y - intercept crosses y-axis so x = 0 x - intercept y -intercept 2x + 3(0) = 1 2(0) + 3y = 1 2x = 1 3y = 1 x = 1/2 y = 1/3 Plot the two points (1/2, 0) and (0, 1/3) 3. Slope and y - intercept. Find the slope and y -intercept of the equation y = mx + b where m = slope and b = y-intercept 2x + 3y =1 3y = -2x + 1 y = (-2/3)x + 1/3 m = -2/3 b = 1/3 Plot the first point using the y-intercept (0, 1/3) then with the help of the slope we will locate the second point the numerator indicated the change in y. Move up if the numerator is positive move down if it is negative. the denominator indicates the change in x. if positive, move right. negative, move left from (0, 1/3) move 2 units down then 3 units right so the new point is located (3, -1 1/3) If this is a help Visit my website http://onlinemathtutorial.tripod.com Sign the guestbook Thanks ```