Question

A line is parallel to y = -2x + 1 and

intersects the point (4,1). What is the

equation of this parallel line?

Answer 1

For this case since we want a parallel line to -2x+1 we need the same slope so then m = -2 and we have:

`y =-2 x+b`

Now we can find the intercept b with the condition given x= 4 , y=1 and we got:

`1 = -2*4 +b`

And solving for b we got:

`b = 1+8 = 9`

And our equation would be:

`y = -2x +9`

Explanation:

For this case we need to find an equation for a line who is parallel to y = -2x + 1 and intersects the point (4,1)

The general equation for a line is given by:

`y = mx +b`

For this case since we want a parallel line to -2x+1 we need the same slope so then m = -2 and we have:

`y =-2 x+b`

Now we can find the intercept b with the condition given x= 4 , y=1 and we got:

`1 = -2*4 +b`

And solving for b we got:

`b = 1+8 = 9`

And our equation would be:

`y = -2x +9`