The given equation is:

$5x + 2y = 11$

Step 1: Convert the equation to slope-intercept form ( $y = mx + b$ )

Start by isolating $y$:

$2y = -5x + 11$

Now, divide by 2:

$y = -\frac{5}{2}x + \frac{11}{2}$

Step 2: Identify the slope and y-intercept

The slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

From the equation $y = -\frac{5}{2}x + \frac{11}{2}$:

• Slope (m) = $-\frac{5}{2}$
• Y-intercept (b) = $\frac{11}{2}$

Final Answer:

The equation in slope-intercept form is:

$y = -\frac{5}{2}x + \frac{11}{2}$

Would you like more details or have any questions?

Here are 5 related questions you might want to explore:

1. How do you convert an equation from standard form to slope-intercept form?
2. What does the slope of a line represent in a graph?
3. How can you find the x-intercept of this line?
4. How would you graph this equation on a coordinate plane?
5. What happens to the slope-intercept form if you change the values of $m$ and $b$?

Tip: Always double-check your algebra when rearranging equations, especially when dividing by a coefficient.