equation for line through (2, 4) and parallel to y = 2x + 5

[NEHA]

Write the equation for the line that passes through the point (2,4) and is parallel to the line y = 2x + 5

I know that the parallel line's equation is y = mx + b, so y = 2x + 5... and then put in the points for x and y...?

 

[stapel]

I think you mean that, for y = mx + b, the SLOPE of the parallel line will be "m".

Given that the line is "y = 2x + 5", what then is your slope "m"?

You are given the point (x, y) = (2, 4), and you have the slope "m". Use whatever method you have been taught to figure out the line equation. You can plug into "y - y₁ = m(x - x₁)" or "y = mx + b" (and then solve for "b").

If you get stuck, please reply showing how far you have gotten, and stating what formula you are using. Thank you.

Eliz.

 

[skeeter]

two hints ...

1. parallel lines have the same slope.

2. the point-slope form of a linear equation is \(\displaystyle y - y_1 = m(x - x_1)\).

 

[NEHA]

ok here is what i did. and i am not quiet sure that what i did is right.
y = 4
x = 2
y = mx + b
4 = 2(2) + b
4 = 4 + b
4 - 4 = 0
b = 0 ??????????

 

[Debbie Jacobs]

Find the slope of the line that passes through the given points, if possible:
(3, -1), (-6,2)

M= y2 - y1/ x2 - x1
M= 2 - (-1)/-6 - 3
M= 3/9
M= -1/3

My problem is how do you determine if it is positive or negative?

Debbie

 

[jonboy]

Find the slope of the line that passes through the given points, if possible:
(3, -1), (-6,2)

M= y2 - y1/ x2 - x1
M= 2 - (-1)/-6 - 3
M= 3/9
M= 1/3

My problem is how do you determine if it is positive or negative?

Debbie

All you do is solve for M. If you get a fraction w/a negative it's negative. BTW -6-3 is -9 which make a negative slope.