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Vedmedyk [2.9K]
1 year ago
13

A walking path across a park is represented by the equation y=-3x - 3. A

Mathematics
2 answers:
luda_lava [24]1 year ago
7 0

Answer:

y = (1/3)x + 7

Step-by-step explanation:

The general structure form of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.

The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.

m = 1/3

x = -3

y = 6

y = mx + b                                  <----- Slope-intercept form

6 = (-3)(1/3) + b                           <----- Insert values

6 = -1 + b                                    <----- Multiply -3 and 1/3

7 = b                                           <----- Add 1 to both sides

Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.

y = (1/3)x + 7

MariettaO [177]1 year ago
5 0
Y=1/3x + 7 is the correct answer
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The equation of the perpendicular bisector of BC with B(-2, 1), and C(4, 2) is y = 7.6 - 6•x

<h3>Which method can be used to find the equation of the perpendicular bisector?</h3>

The slope, <em>m</em>, of the line BC is calculated as follows;

  • m = (2 - 1)/(4 - (-2)) = 1/6

The slope of the perpendicular line to BC is -1/(1/6) = -6

The midpoint of the line BC is found as follows;

\left( - 2 +  \frac{4 - ( - 2)}{2}, \: 1 +  \frac{2 - 1}{2}   \right) = (1,\: 1.5)

The perpendicular bisector is the perpendicular line constructed from the midpoint of BC.

The equation of the perpendicular bisector in point and slope form is therefore;

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Learn more about equations of perpendicular lines here:

brainly.com/question/11635157

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