Question

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?

Answer 1

$x_{1}=2\\y_1=4\\x_2=4\\y_2=10$
equation of the line passes through two points:
$(x_2-x_1)(y-y_1)=(y_2-y_1)(x-x_1)\\(4-2)(y-4)=(10-4)(x-2)\\2y-8=6x-12\\2y=6x-4\\y=3x-2$

Answer 2

the slope is $\frac {10-4}{4-2} = 3$ and thus our equation becomes $y-4=3*(x-2)$.
If we rearrange terms we get $y=3x-2$