What is the slope and y-intercept of the equation y=-4x+1?
Understand the Problem
The question is asking for the slope and y-intercept of the linear equation provided, which is in the form of y = mx + b. The goal is to identify these components based on the equation y = -4x + 1.
Answer
Slope: $-4$, Y-intercept: $1$
Answer for screen readers
The slope is $-4$ and the y-intercept is $1$.
Steps to Solve
- Identify the Slope and Y-Intercept from the Equation
The given equation is in the slope-intercept form ( y = mx + b ), where ( m ) represents the slope and ( b ) is the y-intercept.
- Extract the Slope
In the equation ( y = -4x + 1 ), the coefficient of ( x ) is ( -4 ). Thus, the slope ( m ) is ( -4 ).
- Extract the Y-Intercept
The constant term in the equation is ( 1 ). Thus, the y-intercept ( b ) is ( 1 ).
The slope is $-4$ and the y-intercept is $1$.
More Information
In this case, the slope indicates that for every unit increase in ( x ), ( y ) decreases by 4 units. The y-intercept signifies that when ( x = 0 ), ( y ) equals 1.
Tips
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