Use the labled point to write a point slope form for the line

The point-slope form of the line is y - 3 = -2(x + 2)

Step-by-step explanation:

The point-slope form of the equation of a line is

y - y1 = m(x - x1), where

The rule of the slope is , where

Let us use these rules to solve the question

∵ (-2, 3) and (0, -1) are two points on the line

∴ x1 = -2 and y1 = 3

∴ x2 = 0 and y2 = -1

→ Substitute them in the rule of the slope to find it

∵ m =

∴ m = -2

→ Substitute the value of m and point (-2, 3) in the form of the

   equation above

∵ m = -2 and (x1, y1) = (-2, 3)

∴ y - 3 = -2(x - -2)

→ Remember (-)(-) = (+)

∴ y - 3 = -2(x + 2)

∴ The point-slope form of the line is y - 3 = -2(x + 2)

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step-by-step explanation: