**Interactive Instructions:**Move the green points to change

*m*and see that perpendicular lines have opposite reciprocal slopes.

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**NOTES**: Perpendicular Lines ]
Showing posts with label **reciprocal**. Show all posts

Showing posts with label **reciprocal**. Show all posts

[ **NOTES**: Perpendicular Lines ]

One method for solving a linear equation that looks like 2*x* + 3 = 13 is to simply guess and check. What value can I substitute in for *x* so that the result will be 13? After some thought it should be easy to see that *x* must equal 5 because 2 * 5 + 3 = 10 + 3 = 13. However, guessing at solutions to linear equations becomes very difficult when the numbers are not so nice. When solving, the idea is to use the properties of equality to isolate the variable.

Steps for solving general linear equations of the form $ ax + b = c$.

$$ 2x + 3 = 13 $$

Add $-3$ on both sides of the equation.

$$ 2x = 10 $$

Divide both sides by $2$.

$$ x = 5 $$

Check: $2(5) + 3 = 10 + 3 = 13$ ✔

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