Write an equation in slope-intercept form of the line that passes through (1,4) and (3,10).

Question

kinda stuck need help on this problem

Answer 1

y = mx + b; m = (10 - 4)/(3 - 1) = 3

y = 3x + b; 10 = 9 + b; b = 1;

y = 3x + 1.

Answer 2

for the line through (1,4) and (3,10)

slope = "rise over run" = (10-4)/(3-1) = 6/2 = 3 = (y-4)/(x-1)

(y-4)= 3(x-1)

y-4 = 3x-3

y =3x-3+4 = 3x+1

y= 3x +1

you could have used either point, with (3,10)

you'd have 3=(y-10)/(x-3)

and y-10= 3x-9

y=3x+1

you get the same equation either way