Can you please show me the steps and solution to this problem?

I really don't understand. Thank you very much.

Write an equation in slope-intercept form of the line through points S(-2, -7) and T(4, 3).

2 answers

you have two points. The slope is 10/6 = 5/3. Now, using he point-slope form, you have

y-3 = (5/3)(x-4)
y = 5/3 x - 20/3 + 3
y = 5/3 x - 11/3

Or, solving for

y = mx+b
3 = 4m+b
-7 = -2m+b
and solve for m and b.
Thank you Steve so much!