Answer:
x-int: (8/3, 0)
y-int: (0, -32/3)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
x-intercept is the x-value when y = 0
y-intercept is the y-value when x = 0
Step 1: Write equation
2x - 1/3 = 1/2y + 5
Step 2: Subtract 5 on both sides
2x - 16/3 = 1/2y
Step 3: Multiply 2 on both sides
4x - 32/3 = y
Step 4: Rewrite
y = 4x - 32/3
Step 5: Find x-int
0 = 4x - 32/3
32/3 = 4x
x = 8/3
(8/3, 0)
Step 6: Find y-int
y = 4(0) - 32/3
y = 0 - 32/3
y = -32/3
(0, -32/3)
