To convert the equation \( 5x + 2y = 16 \) into slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), follow these steps:

1. Start with the equation:
   \[
   5x + 2y = 16
   \]
   
2. Subtract \( 5x \) from both sides to isolate the \( y \)-term:
   \[
   2y = -5x + 16
   \]

3. Divide both sides by 2 to solve for \( y \):
   \[
   y = -\frac{5}{2}x + 8
   \]

Now, the equation is in slope-intercept form:
\[
y = -\frac{5}{2}x + 8
\]

Here, the slope \( m = -\frac{5}{2} \) and the y-intercept \( b = 8 \).

Would you like more details on this or have any other questions?

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Here are 5 related questions to further your understanding:
1. How do you find the slope of a line given two points?
2. What is the significance of the slope and y-intercept in real-world problems?
3. How do you convert an equation in point-slope form to slope-intercept form?
4. How can you graph a linear equation using its slope and y-intercept?
5. What happens to the slope-intercept form if the slope is zero?

**Tip:** The slope \( m \) in \( y = mx + b \) represents how much \( y \) changes for every unit increase in \( x \).

Learn how to convert the linear equation 5x + 2y = 16 into slope-intercept form (y = mx + b) with a clear, step-by-step solution. This algebraic problem is suitable for students in Grades 8-10 and covers key concepts like slope and y-intercept.

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