SOLUTION: Give the General equation of the line, with integer coefficients ( Ax + By + C = 0, wherein A is always positive) Show your complete solution. Incomplete solution will get deducti

Click here to see ALL problems on Equations

Question 1178569: Give the General equation of the line, with integer coefficients ( Ax + By + C = 0, wherein A is always positive)
Show your complete solution. Incomplete solution will get deduction/s.

1. has x intercept of 4 and y intercept of 7

2. . has x intercept of -2/3 and y intercept of 1

3. . has x intercept of -9 and y intercept of 4/5

4. passing through ( 0 , 2) and ( 3/5 , 0 )
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13367) (Show Source):
You can put this solution on YOUR website!

This is four examples of exactly the same kind of problem. We are not going to do all of your work for you; I will work one of them and then let you use that as an example to do the others.

x-intercept of 4 and y-intercept of 7....

(1) There is a little-used form for a linear equation using an x-intercept of a and a y-intercept of b:

You can plug in the given intercepts and put the resulting equation in your general form.

(2) Or you can use the given intercepts to determine the slope of the line and then use that slope and the given y-intercept to write to slope-intercept form of the equation, and then put the equation in general form.

With y-intercept b and x-intercept a, the slope of the line is -b/a. So

Answer by josgarithmetic(39838) (Show Source):
You can put this solution on YOUR website!
----------------------------------------------------
1. has x intercept of 4 and y intercept of 7
----------------------------------------------------

Points (4,0) and (0,7)

---------But this could have been computed directly from the formula for slope and the two given axis intercepts.

------using slope-intercept formula

.
.