Question #6437716Fill in the Blank
Geometry
Question
If the lines Ax - 8y - 10 = 0 parallel to 9x + 12y = 4, then A =_____.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of the Slopes of Parallel Lines Theorem. Students need to recognize that for two lines to be parallel, their slopes must be equal.
This question tests the understanding of the Slopes of Parallel Lines Theorem. Students need to recognize that for two lines to be parallel, their slopes must be equal.
Key Concept Explanation
The slope-intercept form of a line is given by , where is the slope and is the y-intercept. For the lines to be parallel, their slopes must be equal.
The slope-intercept form of a line is given by , where is the slope and is the y-intercept. For the lines to be parallel, their slopes must be equal.
Step-by-step Solution
1. Rewrite the first equation in slope-intercept form:
2. Identify the slope of the first line: The slope is .
3. Rewrite the second equation in slope-intercept form:
1. Rewrite the first equation in slope-intercept form:
2. Identify the slope of the first line: The slope is .
3. Rewrite the second equation in slope-intercept form:
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