Answer:
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here, m = slope of the line
b = y intercept
Since, m = -[tex]\frac{1}{2}[/tex]
Equation of the line will be,
y = [tex]-\frac{1}{2}x+b[/tex]
Since, a point (3, -6) lies on the line,
-6 = [tex]-\frac{3}{2}+b[/tex]
b = -6 + 1.5
b = -4.5
Equation of the line will be,
[tex]y=-\frac{x}{2}-\frac{9}{2}[/tex]
Table for the points on the graph,
x -4 -3 -2 -1 0
y -2.5 -3 -3.5 -4 -4.5
Plot these points and join them to get the graph of a line.
