What is the equation in point-slope form of a line that passes through the points (5, −3)(5, −3) and (−2, 9)(−2, 9) ? y−3=−2(x 5)y−3=−2(x 5) y 3=−127(x−5)y 3=−127(x−5) y 3=−2(x−5)y 3=−2(x−5) y−3=−127(x 5)

The equation in point-slope form of a line that passes through the points (5, -3) and (-2, 9) is

For a line that passes through the points (x₁, y₁) and (x₂, y₂), the point-slope form of the equation of the line is:

where m is the slope given by the formula:

The line passes through the points (5, -3) and (-2, 9)

That is, x₁ = 5, y₁ = -3, x₂ = -2, y₂ =  9

Calculate the slope (m) by substituting x₁ = 5, y₁ = -3, x₂ = -2, y₂ =  9

into the equation

Substitute x₁ = 5, y₁ = -3, and m = -12/7 into the line equation

Therefore, the equation in point-slope form of a line that passes through the points (5, -3) and (-2, 9) is

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