Posted by **Jake** on Wednesday, February 8, 2012 at 8:42pm.

Determine the equation of the line described by the given information.

a) slope -2/3, passing through (0,6)

b) passing through points (2,7) and (6,11)

c) parallel to y=4x-6 passing through point (2,6)

- Calculus -
**chemath**, Wednesday, February 8, 2012 at 8:54pm
a) We use the slope-point formula

y-y1 = m (x - x1)

y - 6 = -2/3(x - 0)

y - 6 = -2/3x + 0

y = -2/3x + 6

b) first we found the slope using the two points

m = y2 - y1 / x2 - x1

m = 11 - 7 / 7 - 2

m = 4 / 5

then use the point-slope formula as in (a) to find the equation

c) We know that in order for two lines two be

parallel they must to have the same slope.

So, the slope in the given equation is m = 4

Now, by taken m = 4 and the point (2, 6) and using

again the point-slope formula as in example (a) we find the equation.

- Calculus -
**bobpursley**, Wednesday, February 8, 2012 at 8:56pm
Good teaching, Chemath.

- Calculus -
**Jake**, Wednesday, February 8, 2012 at 9:27pm
Thank you~~

## Answer this Question

## Related Questions

- math - i have more than one question so if u no any of the answers please tell ...
- Algebra - I'm suppose to write an equation with the following information: Line ...
- Pre- Algebra - Given an equation of a line, how do I find equations for lines ...
- Calculus - Determine the equations of the following lines: (a) having slope ¡1 ...
- Algebra - Can someone check my answers? 1. Write the equation of the line that ...
- pre-calculus - How do you write the standard form of the equation of the line ...
- pre-calculus - How do you write the standard form of the equation of the line ...
- Pre-Calculus - What is the equation of the line passing through (4, 2) and ...
- College - If the line passing through point (a,1) and (8,7) is parallel to the ...
- adult education - Math If the line passing through the points (1,a) and (4,-2)is...