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The problem in the image asks to find the equation of the line that passes through the two points \((-2.6,1)\) and \((-1.4,2.5)\), and it mentions that the equation should be in slope-intercept form.

### Let's break this down step by step.

1. **Find the slope \(m\)**:
   The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   Substituting the given points \((-2.6,1)\) and \((-1.4,2.5)\):
   \[
   m = \frac{2.5 - 1}{-1.4 - (-2.6)} = \frac{1.5}{1.2} = 1.25
   \]

2. **Write the equation in point-slope form**:
   The point-slope form of a line is:
   \[
   y - y_1 = m(x - x_1)
   \]
   Using the point \((-2.6, 1)\) and the slope \(m = 1.25\):
   \[
   y - 1 = 1.25(x - (-2.6)) = 1.25(x + 2.6)
   \]

3. **Convert to slope-intercept form (solve for \(y\))**:
   Distribute the slope:
   \[
   y - 1 = 1.25x + 3.25
   \]
   Add 1 to both sides:
   \[
   y = 1.25x + 4.25
   \]

So, the equation of the line is:
\[
y = 1.25x + 4.25
\]

Would you like more details or have any questions about the steps?

### Related Questions:
1. How can you verify that a given point lies on a line using its equation?
2. How do you find the slope of a horizontal or vertical line?
3. What is the difference between slope-intercept form and point-slope form?
4. How do you convert a linear equation from standard form to slope-intercept form?
5. What is the significance of the y-intercept in the equation of a line?

### Tip:
When calculating the slope between two points, always be careful with signs in the formula, especially when working with negative coordinates.

Find the equation of the line that passes through the points (-2.6, 1) and (-1.4, 2.5) in slope-intercept form.

This problem demonstrates how to find the equation of a line passing through the points (-2.6, 1) and (-1.4, 2.5) using the slope-intercept form. It involves key algebraic concepts such as the slope formula and converting from point-slope form to slope-intercept form. Suitable for students in Grades 8-10.

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