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Name: _____________________________ Solving for Y Name Unit 7: Writing Equations of Lines Let’s Unwrap a Present!! Form Example Slope Intercept Standard 1) 2x – 3y = 21 2) 2x – 4y = 40 3) 6x + 2y = 12 4) 3x + 4y = 8 5) x + 2y = 8 6) -6x + y = 18 Name: _____________________________ More Solving for Y Practice 1) 5y = 15 + 3x 2) 8x – 3y = 18 3) -7x – 2y = 18 4) -5x – 9y = 36 5) x + 4y = -32 6) 3x = 12 + y Name: _____________________________ Unit 7: Writing Equations of Lines Solving for Y Notes Notes to refresh your memory on how to graph a line! To graph a line we put the equation in the form of Y = mx + b - m stands for _______________ - b stands for ________________ - Step 1. ________________________________ - Step 2.________________________________ - In slope, the top number is how much you move ____________, the bottom number is how much you move to the _____________. - If the slope is a whole number _________________ ________________. - Example y = 4x + 2 y = ____x + 2 Graph: y = ½ x – 3 Solving for Y… When you want to graph a line in ____________________ form (ex._______________) all you need to do is convert it into _________________ form (ex. ______________). • REMEMBER THAT YOU ARE JUST “Un-wrapping” the equation to reveal the _____________ and ______________. • Once you have these two things you have enough information to __________ the line!!! • Example Problems: 1. 2x + 4y = 16 Solve each equation for y, and then graph each line below 2. -3x + 4y = 4 3. 25x + 5y = 25 4. 4x – 16y = 48 5. -6x + 2y = 10 6. 7. 4x + 12y = -24 6x + 3y = -9 Homework Tuesday Directions: Write a short note to your partner(s) sharing how you will contribute to the 2013 Algebra Dream Team. Explain what you bring to the team and what you need from them. Dear Teammate(s) __________________________________, I ____________________ math class, and I am _____________ that we (how does this class make you feel) (how do you feel about having a team) are now a team. I think that a good team ______________________________ __________________________________________________________. I also (what a good team should do) Think that a good team does not _____________________________________ _______________________________________________________________ (what a good team does not do) As my team, I may need you to help me with ___________________________ ___________________________________________________. (what do you need help with in this class) I find _______________________________________________ (what is hard about this class) hard about math class. My goal for this class is to have _______ as my grade (your goal) ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ _____________________________________________________ (write 2 more sentences to your partner) Thank you, Homework Wednesday Show all work and complete all problems to receive credit. Remember what a perfect graph is! 1. Graph a line with a slope of 3 and a yintercept of -3 2. Solve for y: 2x + 3y = 15 3. Graph the line y = -1/3x + 4 4. Solve the equation below for x 3x + 2xy – 7 = 2(xy – 2) Homework Solve each equation for y to determine which is the correctly matched graph. MUST SHOW ALL WORK TO RECEIVE CREDIT! Fill in answer below 1. 2x + 6y = 6 Thursday A B 2. 3x + 4y = -8 3. 3x – 2y = 0 4. 6x – 3y = -12 1. 2. C D 3. 4. Fly Ahead 1. Solve for x. x² + x + 3 = 2x + 6 + x² 2. Solve for x. -x + 4 – xy = -3x + 8 - xy 3. 4. The sides of a square are 3x – 3. Express the perimeter in terms of x. Find the rate of change of the following table: X Y -6 3 -2 4 2 5 5. Use the graphs below to answer questions 1 – 6