Question

Determine the equation of the line with slope 3 that passes through the point M(1,2)

Answer 1

Hello!

The answer is:

The equation of the line with slope 3 that passes through the point M(1,2) is:

`y=3x-1`

Why?

To determine the equation of the line with slope equal to 3, that passes through the point M(1,2) we can use the following equation:

The slope-intercept of the line is defined by the following equation:

`y=mx+b`

Where,

m is the slope of the line

b is the constant number which represents the y-axis intercept of the line.

So, using the given information, we have:

`y=3x+b`

Then, using the given point to calculate "b", we have:

`2=3*1+b`

`2=3+b`

`2-3=b`

`b=-1`

So, rewriting the equation, we have:

`y=3x-1`

Hence, the equation of the line with slope 3 that passes through the point M(1,2) is:

`y=3x-1`

Have a nice day!