Question

Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. The line containing a slope of 3 and a y-intercept of -2.

Answer 1

Answer:
`3x-y=2`

Explanation:

1. By definition, the standard form of the line is the following:

`Ax+By=C`

Where A is a positive integer and B and C are integers.

2. You have the following information given in the problem above:

- The slope of the line is 3 (which is the coefficient of x)

- The y-intercept is -2.

3. Based of this, you have:

`y=3x-2\\3x-y=2`

4. The answer is:
`3x-y=2`

Answer 2

The standard form of line is

`-3x+y=-2`

Explanation:

we are given a line

slope=3

so,

`m=3`

y-intercept of -2

so,

`b=-2`

now, we can use slope-intercept form of line

`y=mx+b`

now, we can plug values

`y=3x-2`

we can write it in standard form of line

`ax+by=c`

`y=3x-2`

we can subtract both sides by 3x

`y-3x=3x-2-3x`

`y-3x=-2`

`-3x+y=-2`

So, the standard form of line is

`-3x+y=-2`