Question

(-1,7);, (8,-2) write an equation of the line that passes

Answer 1

The formula to find the slope of a line is m = $\frac{y_2 - y_1}{x_2 - x_1}$ where the x's and y's are your given coordinates and m is your slope. So, plug in your coordinates and solve.

m = $\frac{y_2 - y_1}{x_2 - x_1} Plug in your coordinates m = [tex] \frac{-2 - 7}{8 - -1} Cancel out the double negative m = [tex] \frac{-2 - 7}{8 + 1} Simplify m = [tex] \frac{-9}{9} Divide m = -1 Now, plug that slope and one set of your given coordinates into point-slope form, [tex]y - y_1 = m(x - x_1)$. I'll use (-1, 7).

$y - y_1 = m(x - x_1)$   Plug in your points and slope
y - 7 = -1(x - -1)   Cancel out the double negative
y - 7 = -1(x + 1)   Use the Distributive Property
y - 7 = -x - 1   Add 7 to both sides
     y = -x + 6