Math Problem Statement
Solution
We are given the point that lies on the line shown in the graph, and we need to find the value of .
Step 1: Determine the equation of the line.
From the graph, two points on the line are clearly visible:
The slope of the line can be calculated using the slope formula: Substituting the points and :
Step 2: Write the equation of the line in slope-intercept form.
The slope-intercept form is: We know the slope and the y-intercept , since the line crosses the y-axis at . So, the equation of the line is:
Step 3: Find the value of .
The point lies on this line, meaning it satisfies the equation. Substituting into the equation: Solving for :
Thus, the value of is .
However, upon reviewing the answer choices, 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
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Equation of a line: y = mx + b
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 8-10