https://file.aiquickdraw.com/mathbot/file/17262015749415t3zf78f.jpg

To determine the equation of line B, we can use the two points provided: \( (-3, 5) \) and \( (1, 0) \).

### Step 1: Calculate the slope (m)

The formula for the slope between two points is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substitute the coordinates \( (-3, 5) \) and \( (1, 0) \):

\[
m = \frac{0 - 5}{1 - (-3)} = \frac{-5}{1 + 3} = \frac{-5}{4}
\]

So, the slope \( m = -\frac{5}{4} \).

### Step 2: Use the point-slope form

Now that we have the slope, we can use the point-slope form of a line equation:

\[
y - y_1 = m(x - x_1)
\]

We'll use the point \( (1, 0) \):

\[
y - 0 = -\frac{5}{4}(x - 1)
\]

Simplify:

\[
y = -\frac{5}{4}(x - 1)
\]

Distribute the slope:

\[
y = -\frac{5}{4}x + \frac{5}{4}
\]

### Final Equation

Thus, the equation of line B is:

\[
y = -\frac{5}{4}x + \frac{5}{4}
\]

Let me know if you need any more details or if this equation matches one of the provided answer options.

### Related Questions:
1. How do you convert a slope-intercept equation into point-slope form?
2. What is the general form of a linear equation, and how do you convert between forms?
3. How does the slope of a line relate to its steepness and direction?
4. What are the different methods to find the equation of a line from a graph?
5. How can we find the x- and y-intercepts from a given line equation?

### Tip:
When identifying the equation of a line from a graph, always double-check the slope by using at least two distinct points to avoid small calculation errors.

Select the equation for line B based on points (-3, 5) and (1, 0).

Learn how to find the equation of a line passing through the points (-3, 5) and (1, 0). This problem covers key concepts in algebra, including slope, point-slope form, and slope-intercept form, suitable for Grades 8-10 students.

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