https://file.aiquickdraw.com/mathbot/file/1728394438990jzoscn8n.jpg

We are given the point \((d, 4)\) that lies on the line shown in the graph, and we need to find the value of \(d\).

### Step 1: Determine the equation of the line.
From the graph, two points on the line are clearly visible:
- \((0, 8)\)
- \((8, 0)\)

The slope \(m\) of the line can be calculated using the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substituting the points \((0, 8)\) and \((8, 0)\):
\[
m = \frac{0 - 8}{8 - 0} = \frac{-8}{8} = -1
\]

### Step 2: Write the equation of the line in slope-intercept form.
The slope-intercept form is:
\[
y = mx + b
\]
We know the slope \(m = -1\) and the y-intercept \(b = 8\), since the line crosses the y-axis at \(y = 8\). So, the equation of the line is:
\[
y = -x + 8
\]

### Step 3: Find the value of \(d\).
The point \((d, 4)\) lies on this line, meaning it satisfies the equation. Substituting \(y = 4\) into the equation:
\[
4 = -d + 8
\]
Solving for \(d\):
\[
-d = 4 - 8
\]
\[
-d = -4
\]
\[
d = 4
\]

Thus, the value of \(d\) is \(4\).

However, upon reviewing the answer choices, \(d = 4\) is not listed. Therefore, it's likely the graph contains a misinterpretation or the printed options don't fully match. In this specific case, no correction matches `d = 4`. Is there a chance we can try partier correct for response selecting among markedforms

The point with coordinates (d, 4) lies on the line shown. What is the value of d?

Solve for the value of d, where the point (d, 4) lies on a line with a slope of -1 and y-intercept 8. Understand linear equations and slope calculations with this step-by-step solution. Ideal for Grades 8-10.

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