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Answer:
Step-by-step explanation:
The coordinates of the points through which the line passes are (1, 3) and (5, 1)
The slope, m, of a line given the coordinates of two known points on the line, (x₁, y₁), (x₂, y₂) can be found as follows;
The slope of the given line is therefore
The equation of the line in point and slope form is therefore, y - y₁ = m·(x - x₁) or y - y₂ = m·(x - x₂)
Therefore, by substituting the known values, we have the equation in point and slope form as follows;
The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
The given coordinate are (8, -1) and (2, -5).
<h3>What is the slope of an equation?</h3>In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
The slope of the equation is .
The standard form of an equation is Ax + By = C.
The given the point-slope form is .
Multiply each term by 3 of the equation.
⇒3y + 3 = 2x - 16
Subtract 2x from both sides of a equation.
That is, -2x + 3y + 3 = - 16
Subtract 3 from both sides of a equation.
That is, -2x + 3y = - 19
Multiply each term by - 1 from both sides of an equation.
That is, 2x - 3y = 19
Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.
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