Question

Write an equation given m=2 and (3 , 4)

Answer 1

M represents the slope of a straight line
$slope= \frac{y- y1}{x-x1}$
where (x1,y1) is a point by which this straight line passes through.
according to our givens in here this point is (3,4)         (by substituting in the previous equation)

$2 = \frac{y-4}{x-3}$  (multiplying both sides by (x-3))
2(x-3)= y-4
2x - 2*3 = y - 4
2 x- 6 = y - 4  (by adding 4 to both sides)
y - 4 +4 = 2x -6 +4
y = 2 x -2