Write an equation in slope-intercept form for the line with slope 2 and y-intercept 5.
Understand the Problem
The question is asking to write the equation of a line in slope-intercept form given the slope and the y-intercept. The high-level approach would involve using the formula for the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Answer
The equation of the line is $y = 2x + 5$.
Answer for screen readers
The equation of the line in slope-intercept form is $y = 2x + 5$.
Steps to Solve
- Identify the variables Here, we need to identify the slope ($m$) and the y-intercept ($b$). Given:
- Slope ($m$) = 2
- Y-intercept ($b$) = 5
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Write the slope-intercept form Using the slope-intercept formula $y = mx + b$, we substitute the identified values of $m$ and $b$: $$ y = 2x + 5 $$
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Final equation The equation of the line in slope-intercept form is now ready.
The equation of the line in slope-intercept form is $y = 2x + 5$.
More Information
The slope-intercept form $y = mx + b$ is commonly used in algebra to represent linear equations, where $m$ denotes the steepness of the line and $b$ indicates where the line crosses the y-axis.
Tips
- Forgetting to use the correct signs for slope or intercept.
- Mixing up the values of $m$ and $b$.
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