Answer: Choice A
Function 1 and the slope is -4/7
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Explanation:
The slope of y = mx+b is m, which is the number to the left of x.
For function 1
y = (-4/7)x - 4
the slope here is m = -4/7 = -0.57 approximately
Let's use the slope formula to find the slope of function 2 given by the table of values.
Pick any two rows from that table. I'll pick the first two rows.
m = (y2-y1)/(x2 - x1)
m = (0.8 - 2)/(2 - 0)
m = -0.60
Comparing -0.57 and -0.60, we see that -0.57 is closer to zero on the number line. Meaning that function 1 has the less steep slope (i.e. more shallow slope). The further you go away from zero on the number line, in either direction, the slope will get steeper.
