QQuestionMathematics
QuestionMathematics
Which graph represents the equation y= 3 / 4x − 3?
The graph of a line on a coordinate plane. The x and y axes range from - 6 to 6 in increments of 1. A line passes through the points (0, 4) and (- 3, 0).
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Answer
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Step 1:I'll solve this step by step:
Step 2:: Analyze the given equation
- y-intercept ($$b$$) = $$-3
This is a linear equation in slope-intercept form (y = mx + b), where:
Step 3:: Determine key points on the line
x = 4
- x-intercept: Set y = 0 and solve for x
Step 4:: Verify the graph characteristics
- Have a slope of $$\frac{3}{4}
The graph should:
Step 5:: Compare with the given graph
The graph passes through $$(0, -3)$$ and $$(4, 0)$$, which matches the equation's characteristics.
Final Answer
The graph represents the equation y = \frac{3}{4}x - 3.
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