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Write an equation for the following: (3,-2) and a slope of -2

2 Answers

2 votes

Final answer:

The equation of the line is y + 2 = -2x + 6.

Step-by-step explanation:

To write an equation for a line with a given slope and a point, we can use the point-slope form of a line. The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given point is (3, -2) and the slope is -2. Plugging the values into the point-slope form, we get y - (-2) = -2(x - 3). Simplifying the equation, we have y + 2 = -2x + 6.

User Dmila Ram
by
4.8k points
4 votes

Answer:

y=-2x+4

Step-by-step explanation:

y-y1=m(x-x1)

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

y+2=-2x+6

y=-2x+6-2

y=-2x+4

User Justinas Jakavonis
by
4.5k points