Question

Question #2: Write an equation that represents the graph of the linear function

below:
5
4
324
y
2-
-5-4-3-2-1 0
-1
-2
-3
4
1 2 3 4 5
X

Answer 1

`\Large \boxed{\sf y=(-2x)/(3)+1}\\\\\\\\\sf \displaystyle Use\ two\ points\ to\ find\ the\ slope. \\\\ (-3,3)\ and\ (0,1)\\\\m = (y_2 - y_1)/(x_2 - x_1)=(1-3)/(0-(-3)) =(-2)/(3) \\\\\\ Y-intercept\ is\ (0,1).\\\\ b=1 \\\\\\y=mx+b\\\\y=(-2x)/(3)+1`