Math Problem Statement
Put the following equation of a line into slope-intercept form, simplifying all fractions. 2, y, minus, 2, x, equals, 4 2y−2x= 4
Solution
The given equation is:
To put this into slope-intercept form , where is the slope and is the y-intercept, follow these steps:
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Add to both sides to move the -term to the right-hand side:
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Divide every term by 2 to solve for :
Thus, the equation in slope-intercept form is:
Here, the slope , and the y-intercept .
Would you like more details on any step?
Here are 5 questions related to this topic:
- How do you find the slope from an equation in slope-intercept form?
- What is the significance of the y-intercept in a linear equation?
- How would you graph this line using its slope and y-intercept?
- Can you convert a line from point-slope form to slope-intercept form?
- How do you determine if two lines are parallel using their equations?
Tip: To quickly find the slope of a line from an equation in standard form , rearrange it to slope-intercept form and check the coefficient of .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form y = mx + b
Theorems
Linear Equation Transformation
Suitable Grade Level
Grades 7-9