write an equation in slope intercept form of the line through points S(-7,-6) and T(10,8)

Answer 1

The first step is to find the slope between the two points using (y2 - y1)/(x2 - x1). Label the first point (x1, y1) and the second point (x2, y2)

m = (8 + 6)/(10 + 7) = 14/17

Now use point-slope form to write the equation:

y - y1 = m(x - x1)

y + 6 = 14/17(x + 7)

To get into slope-intercept form, solve for y by distributing and then subtracting 6 from both sides.

y + 6 = 14/17x + 98/17

y + 6 - 6 = 14/17x + 98/17 - 6

y = 14/17x - 4/17

Hope this helps!