Question

Write an equation of the line that passes through the point (-1,4) with slope 2

Answer 1

You plug in the point in this equation :
y = 2x + b

4 = (2)-1 + b
Multiply the 2 by -1
4 = -2 + b
Add 2 to both sides
B = 6

We finally write our equation :

y = 2x + 6

Answer 2

For this case, the generic equation of the line is given by:
 $y-yo = m (x-xo)$
 Where,
 m: slope of the line
 (xo, yo): ordered pair that belongs to the line.
 We have then that the slope of the line is:
 $m = 2$
 The line passes through the point (-1,4), therefore, the ordered pair is:
 $(xo, yo) = (-1,4)$
 Substituting values we have:
 $y-4 = 2 (x - (- 1))$
 Rewriting we have:
 $y-4 = 2 (x + 1)$
 Answer:
 An equation of the line that passes through the point (-1.4) with slope 2 is:
 $y-4 = 2 (x + 1)$