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Equation of line point 4 -2 2-3 and the slope

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Answer:

The equation of the line is 3x + y = 10.

Explanation:

To find the equation of a line, we need to know a point on the line and the slope of the line.

Given the point (4, -2) and the slope of -3, we can use the point-slope form of a line to find the equation.

The point-slope form of a line is given by: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Plugging in the values, we have:

y - (-2) = -3(x - 4)

Simplifying the equation:

y + 2 = -3x + 12

Rearranging the equation to the standard form:

3x + y = 10

Therefore, the equation of the line is 3x + y = 10.

User Yordis Prieto Lazo
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