write an equation in slope-intercept formfor the line passing through each pair of points.

Question

(12,5) and (-4,1)

pleae help me!!!! i don't understanf how to solve it

Answer 1

first find the slope
slope =(5-1)/(12+4) = 4/16 = 1/4

so y = (1/4)x + b
but (-4,1) lies on it
so 1 = (1/4)(-4) + b
1 = -1+b
b = 2

equation: y = (1/4)x + 2

I usually check if the other point satisfies,
LS = 5
RS + (1/4)(12 + 2
= 3+2 = 5 = LS

my equation is correct