40 likes | 209 Views
Slope Intercept Review Extraneous Solutions. Slope Intercept Form Review. y- i ntercept f orm / slope intercept form Slope Intercept form y = mx + b The y-intercept value is immediately seen when the equation is in y intercept form -- making it easy to sketch on a graph .
E N D
Slope Intercept Form Review • y-intercept form / slope intercept form • Slope Intercept form y = mx + b • The y-intercept value is immediately seen when the equation is in y intercept form -- making it easy to sketch on a graph. • Specifically, when looking for the y-intercept you set x to zero and solve the equation. In the above the mx falls out. • Similarly, when looking for the x-intercept you set y to zero and solve the equation.
Extraneous Solutions Definition – an extraneous solution is one that does not satisfy the original equation.
Extraneous Solutions • When multiplying or dividing an equation by a variable quantity, it is possible to introduce an extraneous solution. • Step 1: When variables are in the denominator the objective is to get to first get to a Common Denominator through multiplication. • Step2: Simplify by Combining Like Terms. • Step3: Determine if you have introduced an Extraneous Solution by checking your answer. Note Step 3 is only necessary if you multiplied by a variable as part of step 1.