A line includes the points (1, 6) and (10, 4). What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer (2)
y2-y1/x2-x1 4-6/10-1 -2/9 is the slope
y-y1=m(x-x1) y-6=-2/9(x-1) y-6=-2/9x-2/9 Multiply both sides by 9 9y-54=-2x-2 2x+9y=52
Therefore 2x+9y=52 is the equation
The equation of the line in point-slope form that passes through the points (1, 6) and (10, 4) is y − 6 = − 9 2 ( x − 1 ) . The slope calculated is − 9 2 .
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