Answered

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Choose the point-slope form of the equation below that represents the line that passes through the points (-6, 4) and (2.0), (2 points)Oy - 4 = 2(x + 6)O y + 6 = 2(x - 4)Oy+6=-= (x-4)Oy-4--3(x+6)

Choose The Pointslope Form Of The Equation Below That Represents The Line That Passes Through The Points 6 4 And 20 2 PointsOy 4 2x 6O Y 6 2x 4Oy6 X4Oy43x6 class=

Sagot :

Given the following:

(-6, 4) and (2, 0) are the lines that passes through the point.

we are asked to choose the point slope equation.

before we can solve it, we must first of all solve for the slope.

Slope m = y2 - y1

x2 - x1

where:

x1 = -6

x2 = 2

y1 = 4

y2 = 0

m = 0 - 4

2 - (-6)

m = -4/8

m = -1/2

The equation of the lines is found using the point-slope form:

y - y1 = m(x - x1)

so lets substitute into the above equation:

recall, y1 = 4, x1 = -6, slope m = -1/2

y - 4 = -1/2(x - (-6))

y - 4 = -1/2(x + 6)

Therefore, the equation of the lines using the point-slope form is:

y - 4 = -1/2(x + 6)

so the correct option is D which is y - 4 = -1/2(x + 6)

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