Question

Write an equation of the line that passes through the given point and is parallel to the given line.
(-2,1) , y=2x+5

Answer 1

y = m x + b
y = 1, m = 2 and x = -2 Plug in these values in the equation above and solve for b.
It turns out that the new line is the same line, y=2x+5

Answer 2

@robtobey I got a different answer. Can I show you?

Answer 3

y-1=1/2(x+2)
y-1=1/2x+5/2
+1 +1
y=1/2x+7/2

Answer 4

The new line equation is the following. It has the same slope, is parallel to, the given line. Therefore, the slope is 2, the coefficient of x in the given line.
y = m x + b
y = 2 x + b
To find b, use the point coordinates from the point (-2,1) and solve for b.
1 = 2*(-2) + b
1 = -4+ b
5 = b
The new line is:
y = 2x + 5