Question

Consider the point A = (1,3) and the line B, given by the equation y = 2x-2. Write an equation in slope intercept form of the line passing through point A and parallel to line B.

Please help!

Answer 1

The equation of the line in slope intercept form is
`y=2x+1`

Step-by-step explanation:

The point A is
`(1,3)`

The equation of line for B is given by
`y=2x-2`

We need to determine the equation of line in slope intercept form passing through the point A and parallel to line B.

Since, the lines of equation are parallel, their slopes are same.

Thus, the slope is
`m=2`

Now, let us substitute the point
`A(1,3)` and slope
`m=2` in the slope - point formula, we have,

`y-y_(1)=m\left(x-x_(1)\right)`

`y-3=2\left(x-1\right)`

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

`y=2x-2+3\right)`

`y=2x+1`

Thus, the equation of the line in slope - intercept form is
`y=2x+1`