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…

Question

asked Jun 5, 2021 175k views

1 Answer

Algalg · Answer 1 · 2021-06-09T16:39:13+0000

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