11)
The formula for calculating slope is expressed as
slope = (y2 - y1)/(x2 - x1)
From the information given,
x1 = 5, y1 = - 2
x2 = 6, y2= - 5
Slope = (- 5 - - 2)/(6 - 5) = (- 5 + 2)/1
Slope = - 3
The equation of a line in the point slope form is expressed as
y - y1 = m(x - x1)
where
m = slope = - 3
The equation of the line is
y - - 2 = - 3(x - 5)
y + 2 = - 3(x - 5)
When x = 0,
y + 2 = - 3(0 - 5) = - 3 * - 5 = 15
y = 15 - 2
y = 13
When x = 1,
y + 2 = - 3(1 - 5) = - 3 * - 4 = 12
y = 12 - 2
y = 10
Thus, two other points are
(0, 13)
(1, 10)