QQuestionMathematics
QuestionMathematics
A line passes through the points (6, 7) and (8, 8). Write its equation in slope-intercept form.
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Answer
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Step 1:I'll solve this step by step using the precise LaTeX formatting guidelines:
Step 2:: Calculate the slope
m = \frac{8 - 7}{8 - 6} = \frac{1}{2}
Plugging in the points (6, 7) and (8, 8):
Step 3:: Use point-slope form
y - 7 = \frac{1}{2}(x - 6)
We can use either point. Let's use (6, 7):
Step 4:: Rearrange to slope-intercept form (y = mx + b)
y = \frac{1}{2}x + 4
y = \frac{1}{2}x - 3 + 7
Final Answer
y = \frac{1}{2}x + 4
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