Answer:
A)
Step-by-step explanation:
First we need to simplify our current equation.
y + 4 = 1/2(x+3)
Multiply the x+3 in parentheses first according to PEMDAS.
y + 4 = 1/2x + 3/2
Subtract 4 from both sides to isolate the y.
3/2 - 4 = -2 1/2 or -2.5
y = 1/2x - 2.5
-2.5 is our y-intercept. Which graph intersects the y-axis at -2.5?
Now, looking at our slope, 1/2x, what is our rise/run (rise over run)? The graph "rises" 1 unit on the y-axis and "runs" over 2 units on the x-axis. By also looking at our slope, we can also deduce that the graph is increasing. Positive slopes increase, whilst negative slopes decrease. Thus, the graph that meets all these qualifications is graph A. It appears to intersect the y-axis at a negative number like our given -2.5, has an increasing slope (meaning the slope must be positive), and appears to have a 1/2 slope.
