Posted by **Anonymous** on Thursday, January 2, 2014 at 5:33pm.

I have an assignment that asks me to write an equation in slope-intercept, point-slope, or standard form for the information given and to explain why the chosen form would be best. Below is the information given.

1. passing through (-1,4) and (-5,2)

2. that has slope 2 and y intercept 4

3. that has an x-intercept of 6 and a y-intercept of 3

4. that passes through (1,2) and has a slope of -5/3

I chose point-slope for the first one, slope-intercept for the second, slope-intercept for the third, and point-slope for the fourth. Do you think my answers are good, or would you choose different forms for some of them?

- Algebra -
**Reiny**, Thursday, January 2, 2014 at 5:52pm
actually, any method should work for any of those conditions,

in #3, I would use the intercept-intercept form

if the x-intecept is 'a' and the y-intercept is 'b', then the equation can be written simply as

x/a + y/b = 1

so x/6 + y/3 = 1

times 6

x + 2y = 6 , all done!

If I know the slope and a point, I use a method that given me the equation in about 3 lines

- based on the fact that for

Ax + By = C, the slope is -A/B

if you give me the slope I can reverse that and start with the completed left side of the equation,

e.g.

given slope as -5/3 and the point (1,2) , your #4

the equation has to be

5x + 3y = C , but (1,2) lies on it, so

5(1) + 3(2) = C

C = 11

equation: 5x + 3y = 11

advantage, no fractions!

- Algebra -
**Anonymous**, Thursday, January 2, 2014 at 6:06pm
Thanks again!

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