Final answer:
The slope-intercept form of the given equation y + 3 = 4(x - 5) is y = 4x - 23.
Step-by-step explanation:
The given equation is y + 3 = 4(x - 5). To write this equation in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
First, distribute 4 to both terms inside the parentheses:
y + 3 = 4x - 20
Next, subtract 3 from both sides to isolate y:
y = 4x - 20 - 3
Combining like terms:
y = 4x - 23
Therefore, the slope-intercept form of the given equation is y = 4x - 23.
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