### Determining Equations of Lines

Today, March 03, 2006, Mrs. Ingram talked about determining the equations of lines, given two points. To explain how to solve these problems, I will use the second question from Exercise 15.

We were given two points, M(-2, 0) and N(4, 7).

We were given two points, M(-2, 0) and N(4, 7).

* First, we should find the slope of the line that connects these two points.

Formula:

(Y2 - Y1) / (X2 - X1)

m = (7 - 0)/(4 + 2)

m = 7/6

m = (7 - 0)/(4 + 2)

m = 7/6

* (/) = over

* Then, we can determine the equation of the line by substituting the values of one of the points (either one) and the slope into the point-slope formula.

Formula: (Y-Y1) = m (X - X1)

m = 7/6 point M (-2, 0)

(Y - 0) = 7/6 (X + 2)

y = (7x)/6 + 14/6

Right now, this equation is still in slope-intercept form. All we have to do now is to rearrange these values to turn it into the standard form.

* Then, we can determine the equation of the line by substituting the values of one of the points (either one) and the slope into the point-slope formula.

Formula: (Y-Y1) = m (X - X1)

m = 7/6 point M (-2, 0)

(Y - 0) = 7/6 (X + 2)

y = (7x)/6 + 14/6

Right now, this equation is still in slope-intercept form. All we have to do now is to rearrange these values to turn it into the standard form.

6(y) = (7x/6 + 14/6)6

6y = 7x + 14

0 = 7x - 6y + 14

6y = 7x + 14

0 = 7x - 6y + 14

And there you go, now we’ve determine the equation of this line in standard form. Have a good weekend?

Cough * Wendy smells * Cough

well if you guys dont understand this its not my fault

You guys wanna hear a joke? *people cheer* Alright then here it goes: guess what ??? i bet your thinking about chicken butTS ROLFMAO ?HGAHAHA!!! jk..

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