Put the following equation of a line into slope-intercept form, simplifying all fractions.
2, y, minus, 2, x, equals, 4
2y−2x=
4


The given equation is:

\[
2y - 2x = 4
\]

To put this into slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept, follow these steps:

1. Add \(2x\) to both sides to move the \(x\)-term to the right-hand side:
   \[
   2y = 2x + 4
   \]

2. Divide every term by 2 to solve for \(y\):
   \[
   y = x + 2
   \]

Thus, the equation in slope-intercept form is:

\[
y = x + 2
\]

Here, the slope \(m = 1\), and the y-intercept \(b = 2\).

Would you like more details on any step? 

Here are 5 questions related to this topic:
1. How do you find the slope from an equation in slope-intercept form?
2. What is the significance of the y-intercept in a linear equation?
3. How would you graph this line using its slope and y-intercept?
4. Can you convert a line from point-slope form to slope-intercept form?
5. 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 \(Ax + By = C\), rearrange it to slope-intercept form and check the coefficient of \(x\).

Put the following equation of a line into slope-intercept form, simplifying all fractions. 2y - 2x = 4

Learn how to convert the linear equation 2y - 2x = 4 into slope-intercept form (y = mx + b). This step-by-step guide covers key algebraic concepts like rearranging equations and simplifying fractions. Suitable for students in Grades 7-9, it provides a clear explanation of finding the slope and y-intercept.

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