To convert the equation $5x + 2y = 10$ into slope-intercept form, which is $y = mx + b$, we need to solve for $y$.

1. Start with the given equation: $5x + 2y = 10$

2. Subtract $5x$ from both sides to isolate $2y$ on the left: $2y = -5x + 10$

3. Divide each term by 2 to solve for $y$: $y = -\frac{5}{2}x + 5$

Thus, the slope-intercept form of the equation is: $y = -\frac{5}{2}x + 5$

Answer:

The correct option is: $\text{D) } y = -\frac{5}{2}x + 5$

Would you like further details on the steps or have any questions?

Here are some related questions for further practice:

1. How would you convert the equation $3x - 4y = 12$ into slope-intercept form?
2. What is the slope of the line given by the equation $y = -\frac{5}{2}x + 5$?
3. How do you determine the y-intercept of a line from its equation in slope-intercept form?
4. How would you rewrite $7x + y = 2$ in slope-intercept form?
5. If a line has a slope of $-\frac{5}{2}$ and passes through $(0, 5)$, what is its equation?

Tip:

In slope-intercept form $y = mx + b$, $m$ represents the slope, and $b$ represents the y-intercept.