Which shows y 4= 3x 2)

The second equation becomes. Graph either equation by finding two data points. From the graph it can be seen that these equations are equivalent. There are an infinite number of solutions. This method will be illustrated using supply and demand analysis. This type of analysis is derived from the work of the great English economist Alfred Marshall. When graphing price is placed on the vertical axis. Thus price is the dependent variable. It might be more logical to think of quantity as the dependent variable and this was the approach used by the great French economist, Leon Walras.

The objective is to find an equilibrium price and quantity, i. This method involves removing variables from the equations. Variables are removed successively until only a single last variable is left, i. This equation is then solved for the one unknown.

The solution is then used in finding the second to last variable. The procedure is repeated by adding back variables as their solutions are found.

Procedure: eliminate y. The coefficients of y are not the same in the two equations but if they were it would possible to add the two equations and the y terms would cancel out. However it is possible through multiplication of each equation to force the y terms to have the same coefficients in each equation.

Step 1: Multiply the first equation by 2 and multiply the second equation by 3. A The x-intercept becomes 4 times larger B The x-intercept becomes twice as large. This is for the pretest. What is the solution to the system of equations pictured below? What is the 'b'? M is the x. Determine the equation of a quadratic function that satisfies each set of conditions.

Write an equation for a rational function whose graph has all of the indicated features. What method s would you choose to solve the equation? Explain your reasoning. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large.

Square roots; there is no. Write each equation in slope-intercept form of the equation of a line. Algebra Examples Popular Problems. Rewrite in slope-intercept form. The slope-intercept form is , where is the slope and is the y-intercept.

Reorder terms. Remove parentheses. Use the slope-intercept form to find the slope and y-intercept. Find the values of and using the form. The slope of the line is the value of , and the y-intercept is the value of. Slope :. Any line can be graphed using two points.

Select two values, and plug them into the equation to find the corresponding values. Find the x-intercept.