The distance between points (3, 7) and (x₁, y ) is the square root of (x₁ - 3)² + (y₁ - 7)².
1 answer:
Based on the distance formula, the distance between points (3, 7) and (x1, y) is: . SO, it is TRUE.
The distance formula which can be applied to find the distance between two coordinate points is: .
Given the points:
(x1, y1)
(3, 7) = (x2, y2)
Substitute
Therefore, the statement that says the distance between points (3, 7) and (x1, y) = , is TRUE.
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Answer:
4x - 3y = 5
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
First obtain the equation in point- slope form
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 ) = (- 1, - 3) and (x₂, y₂ ) = (2, 1)
m = =
Using (a, b) = (2, 1), then
y - 1 = (x - 2) ← in point- slope form
Multiply both sides by 3
3y - 3 = 4(x - 2) ← distribute and rearrange
3y - 3 = 4x - 8 ( add 8 to both sides )
3y + 5 = 4x ( subtract 3y from both sides )
5 = 4x - 3y, so
4x - 3y = 5 ← in standard form