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 $y=2x+1$

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 $y=2x+1$