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Which of the following point-slope form equations could be produced with the points (2, -6) and (4, -3)?

y - 6 = 3/2(x + 2)
y - 6 = 3/2(x - 2)
y + 6 = 3/2(x - 2)
y + 6 = -3/2(x + 2)

User Alexmngn
by
7.9k points

1 Answer

2 votes

Answer:

y+6=
\frac{\textbf{3}}{\textbf{2}}(x-2)

Explanation:

A line passes through the points
(2,-6) and
(4,-3).

To find the point-slope form of the line, we need a point on the line and the slope of the line.

As we have two points
(x_(1),y_(1)) and
(x_(2),y_(2)), the slope can be calculated as
(y_(2)-y_(1))/(x_(2)-x_(1)).

Slope of the line =
(-3-(-6))/(4-2)=(3)/(2)

Given a line with slope
m and a point
(x_(1),y_(1)), slope-point form is
y-y_(1)=m(x-x_(1))

Line is given by
y+6=(3)/(2)(x-2)

∴ The line is given by
y+6=(3)/(2)(x-2)

User Wee Zel
by
8.4k points

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