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Finding the y-intercept

Finding the y-intercept. Use the green definition books to get the definition or meaning of the Y-intercept and write it in your ISN notebook. Linear Function-. The equation A x + B y = C represents a linear function as long as B = 0.

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Finding the y-intercept

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  1. Finding the y-intercept • Use the green definition books to get the definition or meaning of the Y-intercept and write it in your ISN notebook.

  2. Linear Function- The equation Ax +By = C represents a linear function as long as B = 0.

  3. Graph the function y=–3x + 1 with domain x ≤ 0. Then identify the range of the function. Graph a Function SOLUTION STEP1 Make a table. STEP 2 Plot the points. STEP3 Connect the points with a ray because the domain is restricted. STEP4 Identify the range. From the graph, you can see that all points have a y-coordinate of 1 or more, so the range of the function is y ≥ 1.

  4. “Graph Using Intercepts” x-intercept- the x-coordinate of the point where the graph crosses the x-axis To find the x-intercept, solve for ‘x’ when ‘y = 0.’ Find the x-intercept of the graph 2x + 7y = 28. 2x + 7y = 28 2x + 7(0)= 28 2x = 28 x = 14

  5. Section 4.3 “Graph Using Intercepts” y-intercept- the y-coordinate of the point where the graph crosses the y-axis To find the y-intercept, solve for ‘y’ when ‘x = 0.’ Find the y-intercept of the graph 2x + 7y = 28. 2x + 7y = 28 2(0)+ 7y= 28 7y = 28 y = 4

  6. y-intercept x + 2y = 4 x + 2(0) = 4  x-intercept 4 x = y = 2 Use Intercepts to Graph an Equation Graph the equation x + 2y = 4. Find the x-intercept Find the y-intercept x + 2y = 4 0 + 2y = 4 Plot points. The x-intercept is 4, so plot the point (4, 0). They- intercept is 2, so plot the point (0, 2). Draw a line through the points.

  7. y-intercept 6x + 7y = 42 6x + 7(0)= 42  x-intercept 7 x = y = 6 Use Intercepts to Graph an Equation Graph the equation 6x + 7y = 42. Find the x-intercept Find the y-intercept 6x + 7y = 42 6(0) + 7y = 42 Plot points. The x-intercept is 7, so plot the point (7,0). They- intercept is 6, so plot the point (0, 6). Draw a line through the points.

  8. Use a Graph to Find Intercepts The graph crosses the x-axis at (2, 0). The x-intercept is2. The graph crosses the y-axis at (0,–1). The y-intercept is – 1.

  9. Use a Graph to Find Intercepts The graph crosses the x-axis at (–4,0). The x-intercept is–4. The graph crosses the y-axis at (0,2). The y-intercept is 2.

  10. Problem Solving Using Linear Equations You are working at a local park and are in charge of renting skateboards and bikes. You rent bikes for $8.00 a day and skateboards for $4.00 a day. At the end of the day you have made a profit of $1200. Using the graph, make a table of values to show the different combinations of rentals that could have resulted in a $1200 profit. Write an algebraic equation to represent the situation. Use ‘x’ for skateboards and ‘y’ for bikes. 4x + 8y = 1200 bikes 50 50 100 150 200 250 300 skateboards

  11. Homework 24 Text p. 229, #8-22 even #28-40 even, 46

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