Write the Equation of the Line You will need to take notes on GRAPH paper today. Copy the graph below and we will use it to answer multiple questions.

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Presentation transcript:

Write the Equation of the Line You will need to take notes on GRAPH paper today. Copy the graph below and we will use it to answer multiple questions. Common Core #25

Write the Equation of the Line (1) What is the slope of this line? Explain how you got your answer in TWO different ways.

Write the Equation of the Line (1) What is the slope of this line? Explain how you got your answer in TWO different ways. Answer is 2. You could have counted rise over run and picked two of the points like (0,1) and (1,3) and used the slope formula to get 2.

Write the Equation of the Line (2) What is the y-intercept of this line? (3) Explain how to use the graph to write your equation in slope-intercept form.

Write the Equation of the Line (2) What is the y-intercept of this line? (3) Explain how to use the graph to write your equation in slope-intercept form. Answers are 1 for the y-intercept because that is where it crosses the y-axis and now you can use the slope of 2 to write y = 2x + 1 in slope-intercept form.

Write the Equation of the Line (4) Use the graph to write an equation in point-slope form y = m(x – h) + k. Explain how you got your answer.

Write the Equation of the Line (4) Use the graph to write an equation in point-slope form y = m(x – h) + k. Explain how you got your answer. Answers could vary but y = 2(x – 1) + 3 is possible as well as y = 2( x – 0) + 1

Write the Equation of the Line (5) Now re-write your equation into standard form. You can use slope-intercept form or point-slope form to help you. (6) What is the x-intercept?

Write the Equation of the Line (5) Now re-write your equation into standard form. You can use slope-intercept form or point-slope form to help you. (6) What is the x-intercept? Answer is -2x + y = 1 in standard form and the x- intercept is -½.

Write the Equation of the Line (7) Graph a new line that is shifted down three units. Use your graph to write the line in slope-intercept form, point- slope form, and standard form.

Write the Equation of the Line (7) Graph a new line that is shifted down three units. Use your graph to write the line in slope-intercept form, point-slope form, and standard form. Answers are y = 2x – 2 y = 2(x – 2) + 2, others are possible. -2x + y = -2

Write the Equation of the Line (8) Use the two points of (3,0) and (0, -2) to write the equation of this line in all three forms: Slope-intercept form Point-slope form Standard form When you finished come see me and I will check them for you.