Write an equation in point-slope form for the line that passes through the given points.(3, 3), (6, 7)
Question
Write an equation in point-slope form for the line that passes through the given points.(3, 3), (6, 7)
Solution
Step 1: Find the slope of the line
The slope of the line passing through the points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the given points (3, 3) and (6, 7) into the formula, we get:
m = (7 - 3) / (6 - 3) = 4 / 3
So, the slope of the line is 4/3.
Step 2: Write the equation in point-slope form
The point-slope form of a line is given by the formula:
y - y1 = m(x - x1)
Substituting the slope we found and one of the given points into the formula, we get:
y - 3 = 4/3 * (x - 3)
So, the equation of the line in point-slope form that passes through the points (3, 3) and (6, 7) is y - 3 = 4/3 * (x - 3).
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