Question

(-3, 6) & m = -¹/2 what’s this equation in point slope form

Answer 1

The equation of the line in point-slope form is y - 6 = (-1/2)(x - (-3)) which can be simplified as x + 2y = 9.

The equation of a line that has a slope m, and passes through the point (x₁, y₁) is given by the point-slope form of a line, which can be shown as:

(y - y₁) = m(x - x₁).

In the question, we are asked to find the equation of the line in point-slope form, that passes through the point (-3, 6) and has a slope m = -1/2.

We know that the equation of a line that has a slope m, and passes through the point (x₁, y₁) is given by the point-slope form of a line, which can be shown as:

(y - y₁) = m(x - x₁).

Taking (x₁, y₁) as (-3, 6) and m = -1/2, in the point-slope form, we get the equation of the line as;

y - 6 = (-1/2)(x - (-3)).

This can be simplified as:

2y - 12 = - x - 3,

or, x + 2y = 9.

Thus, the equation of the line in point-slope form is y - 6 = (-1/2)(x - (-3)) which can be simplified as x + 2y = 9.

Learn more about the point-slope form at

brainly.com/question/11624671

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