Math Problem Statement
Find the slope and y-intercept of the equation -2x + y = 3.
Solution
To find the slope and -intercept of the equation , let's rewrite it in the slope-intercept form, which is , where is the slope and is the -intercept.
Starting with:
Add to both sides to isolate :
Now, in this form, we can see that:
- The slope
- The -intercept
So, the correct answer is option (b): .
Would you like more details or have any questions?
Here are some related questions to consider:
- How do you convert an equation to slope-intercept form?
- What is the significance of the slope in a linear equation?
- How can you find the -intercept from different forms of linear equations?
- How do the slope and -intercept influence the graph of a line?
- What are some common methods to find the slope of a line given two points?
Tip: Always try to rewrite linear equations in slope-intercept form to easily identify the slope and -intercept.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + c
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 7-9