Question: Using Geogebra, graph the line y=4x+7. Click the Point icon, , and select Point, , to place a point on the line (use an ordered
Using Geogebra, graph the line y=4x+7. Click the Point icon, , and select Point, , to place a point on the line (use an ordered pair with integer values.) Construct a line segment from the point to the origin. Click on the Line icon and select Line, . Next, click the point on the line you created, , and then click the origin to create the line. Explain how you would find the length of the line segment (think back to an algebraic formula.) Note: Remember to click back on the Move icon, , before doing anything else in Geogebra. Length=((x_2-x_1 )^2+(y_2-y_1 )^2 ) Explain what point you think minimizes the distance from the line to the origin. State the function you are trying to minimize. State the constraint. Write the function to minimize using one variable. Find the exact coordinates that minimize the distance using the Derivative command. Start typing in derivative and the following will popup. Select the first option and enter your function from step 5. Use the Solve command. Type in Solve, right arrow and select Solve(Equation). Since your derivative will be a rational expression, you need only to enter the numerator portion to solve
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