Answer:
y - 1 = -1/6(x + 4)
y = -1/6 x + 1/3
y - 2 = -1/6 (x+10)
Step-by-step explanation:
To write the equation of the line, calculate the slope between two points in the table using the slope formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1}= \frac{2-1}{-10--4}= \frac{1}{-10+4}=-\frac{1}{6}[/tex]
Substitute m = -1/6 and (-4,1) into the point slope form:
y - 1 = -1/6(x - -4)
y - 1 = -1/6(x + 4)
y - 1 = -1/6x - 4/6
y = -1/6x -4/6+6/6
y = -1/6 x + 2/6
y = -1/6 x + 1/3
The point (-10, 2) could have also been chosen and resulted in
y - 2 = -1/6 (x+10)
