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

Answer:

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:

$y = -2x +9$

Step-by-step 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:

$y = -2x +9$