A line passes through the points $$ (-2,5) $$ and $$ (3,10) $$. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form

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To find the equation of the line passing through the points $$(-2, 5)$$ and $$(3, 10)$$ in slope-intercept form $$y = mx + b$$, follow these steps:

1. **Calculate the slope $$m$$:**

$$
   m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 5}{3 - (-2)} = \frac{5}{5} = 1
   $$

2. **Use the slope $$m$$ and one of the points to find the y-intercept $$b$$:**

Using the point $$(-2, 5)$$:
   
   $$
   y = mx + b \
   5 = 1(-2) + b \
   5 = -2 + b \
   b = 5 + 2 \
   b = 7
   $$

3. **Write the equation in slope-intercept form:**

$$
   y = 1x + 7 \quad \text{or simply} \quad y = x + 7
   $$

**Final Answer:**
$$
y = x + 7
$$
The equation of the line in slope-intercept form is $$ y = x + 7 $$.

A line passes through the points and . Write its equation in slope-intercept
form.
Write your answer using integers, proper fractions, and improper fractions in simplest form

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A line passes through the points and . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form