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Name: Date: Page 1 of 4 More Standard Form I can find the x-intercept by: I can find the y-intercept by: 1. Graph the linear functions in standard form by finding the x and y intercepts. Then find the slope and write the equation in slope-intercept form. a. Given 3x + 2y = 12, find both intercepts and the slope. Then draw the graph. x 0 y y 0 x x-intercept: y-intercept: Slope: b. Write 3x + 2y = 12 in slope-intercept form: y = mx + b. c. From the slope-intercept form of the equation, the slope is _____ and the y-intercept is _______. Check to see that the results agree with your answers in part (a). Activity 4.5.4 CT Algebra I Model Curriculum Version 3.0 Name: Date: Page 2 of 4 d. Given 4x – 5y = 20, find both intercepts and the slope. Then draw the graph. x 0 y y 0 x x-intercept: y-intercept: Slope: e. Write 4x – 5y = 20 in slope-intercept form: y = mx + b. f. From the slope-intercept form of the equation, the slope is _____ and the y-intercept is _______. Check to see that the results agree with your answers in part (d). g. Given 6x – 5y = 30, find both intercepts and the slope. Then draw the graph. x 0 y y 0 x-intercept: x y-intercept: Slope: h. Write 6x – 5y = 30 in slope-intercept form: y = mx + b. Activity 4.5.4 CT Algebra I Model Curriculum Version 3.0 Name: Date: Page 3 of 4 2. What is one advantage of the standard form (compared to slope-intercept form)? 3. What is one advantage of slope-intercept form? The standard form of a line is Ax + By = C. The x’s and y’s are on the same side of the equal sign. The constant term is alone on the other side of the equal sign. To find the x-intercept, substitute 0 in for y, and solve for x. To find the y-intercept, substitute 0 in for x and solve for y. To transform an equation from standard form to slope-intercept form, solve for y. The slope-intercept form of a line is y = mx + b. 1. Determine if the equation is in standard form. If not, explain why. a. 5𝑥 − 𝑦 = 8 d. 𝑥 + 3𝑦 = 0 b. 𝑦 = −4𝑥 − 3 e. 𝑦 = 4 + 4(𝑥 − 2) c. 𝑥 + 3𝑦 + 7 = −2 f. −6𝑥 + 4𝑦 = −7 2. Find the x-intercept and y-intercept. a. 5𝑥 + 2𝑦 = 10 c. −4𝑥 + 𝑦 = 4 b. 𝑥 − 3𝑦 = −6 d. 2𝑥 + 4𝑦 = 12 Activity 4.5.4 CT Algebra I Model Curriculum Version 3.0 Name: Date: Page 4 of 4 3. Plot the intercepts from question 2 and connect them to make a line. a. 5𝑥 + 2𝑦 = 10 c. −4𝑥 + 𝑦 = 4 y y x b. 𝑥 − 3𝑦 = −6 x d. 2𝑥 + 4𝑦 = 12 y y x x 4. Use the graphs in question 3 to find the slope of each line. a. 5𝑥 + 2𝑦 = 10 Slope = c. −4𝑥 + 𝑦 = 4 Slope = b. 𝑥 − 3𝑦 = −6 Slope = d. 2𝑥 + 4𝑦 = 12 Slope = 5. Transform the following equations into slope-intercept form. a. 5𝑥 + 2𝑦 = 10 c. −4𝑥 + 𝑦 = 4 b. 𝑥 − 3𝑦 = −6 d. 2𝑥 + 4𝑦 = 12 Activity 4.5.4 CT Algebra I Model Curriculum Version 3.0