Question

Find an equation of the line in the form ax+by=c whose x-intercept is 18 and y-intercept is 6 , where a,b, and c are integers with no factor common to all three, and a≥0.

The equation of the line is (Type an equation.)

Answer 1

x + 3y = 18

Explanation:

We know two points (0,6) and (18,0)

The slope is the change in y over the change in x

`(0-6)/(18-0)` =
`(-6)/(18)` =
`(-1)/(3)`

The equation in the slope intercept form is

y =
`(-1)/(3)` x + 6 Multiply all the way through by 3

3y = -x + 18 Add x to both sides

x + 3y = 18

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