Posted by **emmy** on Tuesday, November 27, 2012 at 10:59pm.

Find equation of the line that passes through the points (2/3,-5/4) and (-3,-5/6). write your answer in slope-intercept form and standard form with integer coefficients.

- math -
**Jennifer**, Wednesday, November 28, 2012 at 3:05pm
The slope m of a line passing through two points (x1, y1), (x2, y2) is given by

m = (y2-y1)/(x2-x1)

m = (-5/6 - -5/4) / (-3-2/3) = (5/12) / (-11/3) = -15/132 = -5/44

The equation for a straight line is of the form y = m*x + b

where m is the slope and b is the y-intercept.

So far we have;

y = -5/44*x + b

To solve for b, plug in one of the points:

-5/4 = -5/44 * (2/3) + b

-5/4 = -10/132 + b

b = -5/4 + 10/132 = -155/132

y = -5/44*x - 155/132 (slope-intercept form)

Standard form: You need to find the common factors of 44 and 132: it's 132, so multiply the equation by 132:

132*y = -15*x - 155

-15*x + 132*y = -155

## Answer this Question

## Related Questions

- math - Find equation of the line that passes through the points (2/3,-5/4) and...
- math - Find the equation of the line that passes through the points (2/3, -5/4)...
- math - i have more than one question so if u no any of the answers please tell ...
- math - pls check!!! - Write an equation in point-slope form for the line that ...
- Math/Algebra do u know how to do slope intercept? - The following problems are ...
- Quick math help - My math exam is coming up Friday and I need help!! Can you ...
- Algebra - Choose 1 set of points from the choices below. Then, solve the problem...
- math - I have a few question so I will number them off. Please answer them for ...
- Algebra - I know that standard form is Ax+By=C, but I'm not really sure how to ...
- Math - Write an equation in slope-intercept form, point-slope, or standard form ...

More Related Questions