Answer:
a. Slope (m): ⅓
b. y-intercept (b): 5
c. Equation: y = ⅓x + 5
Explanation:
3a. Using two pairs from the table, say, (-3, 4) and (0, 5):
Slope = m = ∆y/∆x = (5 - 4)/(0 -(-3)) = 1/3
m = ⅓
b. y-intercept (b) is the value of y, when x = 0.
Thus, from the table, when x = 0, y = 5.
Therefore, y-intercept (b) = 5
c. Substitute m = ⅓, and b = 5 into y = mx + b
The equation is:
y = ⅓x + 5