Answer:
The first thing we must do for this case is to find the equation of the line.
y-yo = m (x-xo)
We have then:
m = (y2 - y1) / (x2-x1) m = (-3 - 0) / (2-8) m = 1/2
We choose an ordered pair:
(xo, yo) = (8, 0)
Substituting values:
y-0 = (1/2) (x-8) y = (1/2) x - 4
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
y = (1/2) (0) - 4 y = -4
Slope of the line:
m = 1/2
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
-5 = (1/2) (- 2) - 4 -5 = -1 - 4 -5 = - 5
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
Step-by-step explanation:
