Question 389621
The approach here is to find the slope of the line then use the point slope formula to get the equation.
using given points, (2,4) and (4,7)
slope,m = change in y ÷ change in x = (7-4)/(4-2) = 3/2
using point-slope formula
y-y1 = m(x-x1) 
choosing point (2,4) (choosing point (4,7) will also work)
y-4 = (3/2)(x-2)
multiplying both sides by 2,
2(y-4) = 3(x-2)
2y -8 = 3x-6
2y-3x =2

ans: equation of the line through points (2,4) and (4,7) is 2y-3x =2

{{{ graph( 300, 200, -6, 5, -10, 10, 1.5x+1) }}}