Question

What is the equation of the line in standard form?

Answer 1

y=2x+4 is the answer

Answer 2

we know that

the equation of the standard form of a line is equal to

`Ax+By=C`

where

A is a positive integer, and B, and C are integers

Let

`A(-3,-2)\ B(-1,2)`

Step 1

Find the slope of the line

The slope of the line is equal to

`m=(y2-y1)/(x2-x1)`

Substitute the values

`m=(2+2)/(-1+3)`

`m=(4)/(2)=2`

Step 2

Find the equation of the line into slope intercept form and then convert to standard form

`y=mx+b`

we have

`m=2`

`b=4` -----> see the graph

substitute

`y=2x+4`

Convert to standard form

`2x-y=-4`

therefore

the answer is

`2x-y=-4`