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nignag [31]
2 years ago
7

Complete the point-slope equation of the line through (2,3) and (7,4) y-4=

Mathematics
1 answer:
Anna71 [15]2 years ago
4 0

Answer:

y - 4 = \frac{1}{5}(x - 7)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (7, 4)

m = \frac{4-3}{7-2} = \frac{1}{5}

Use either of the 2 points for (a, b)

Using (7, 4), then

y - 4 = \frac{1}{5}(x - 7) ← in point- slope form

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