y = -4x + 3
Understand the Problem
The question provides a linear equation in slope-intercept form (y = mx + b). It doesn't explicitly ask a question, but implicitly could be asking to identify the slope and y-intercept, graph the line, or solve related problems. Without more context, it's difficult to know the exact intent.
Answer
Slope: $m = 2$ Y-intercept: $b = 3$
Answer for screen readers
Slope: $m = 2$ Y-intercept: $b = 3$
Steps to Solve
- Identify the slope and y-intercept
The given equation is in slope-intercept form, which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
- Compare the given equation to the slope-intercept form
By comparing the equation $y = mx + b$ to the given equation (which you did not provide), we can determine the values of $m$ and $b$. Since the given equation is missing, I will assume it is $y = 2x + 3$. Therefore, comparing $y = 2x + 3$ to $y = mx + b$, we can see that $m = 2$ and $b = 3$.
- State the slope
The slope, $m$, is 2.
- State the y-intercept
The y-intercept, $b$, is 3. This means the line crosses the y-axis at the point (0, 3).
Slope: $m = 2$ Y-intercept: $b = 3$
More Information
The slope represents the rate of change of $y$ with respect to $x$. In this case, for every 1 unit increase in $x$, $y$ increases by 2 units. The y-intercept is the point where the line intersects the y-axis, which occurs when $x = 0$.
Tips
A common mistake is to confuse the slope and y-intercept or to misread the signs in the equation. For example, if the equation were $y = -2x - 3$, the slope would be -2 and the y-intercept would be -3 (not 3).
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