Question

Question 3

Find an equation for the line that passes through the points (-1,8) and (2, - 10).
Write the equation in slope-intercept form.

Answer 1

Answer: y = -6x + 2

m = y_2 - y_1
/ x_2 - x_1

-10 - 8
/ 2 - (-1)

= -18/3 = -6

m (slope) = -6

y = mx + b
y = -6x +b

Find b using (-1,8)
y = -6x +b
8 = -6(-1) + b
8 = 6 + b
-6 -6
2 = b

Final answer: y = -6x + 2

To check using one of the points: (-1,8) or (2,-10)
y = -6x + 2
-10 = -6(2) + 2
-10 = -12 + 2
-10 = -10
This is a true statement.