Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of one half.

a.
y − 6 = one half (x + 3)

b.
y = one half x − 6

c.
y + 3 = one half (x − 6)

d.
x − 2y = 12

Question

29-10-2019
Mathematics

contestada

Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of one half.

a.
y − 6 = one half (x + 3)

b.
y = one half x − 6

c.
y + 3 = one half (x − 6)

d.
x − 2y = 12

Respuesta :

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Answer:

The point slope form of the equation that passes through the point (6, -3) and has a slope of one half is y + 3 = one half (x − 6) Thus Option C is correct

Solution:

Given that the line passes through the point (6, -3) and has a slope of one half

We have to find the point slope form of the line

The point slope form is given as

[tex]y - y_1 = m(x - x_1)[/tex]

Where "m" is the slope of the line

Here in the given question, [tex]m = \frac{1}{2} ; x_1 = 6 ; y_1 = -3[/tex]

Substituting the values we get,

[tex]y - (-3) = \frac{1}{2} (x - 6)[/tex]

[tex]y + 3 = \frac{1}{2} (x - 6)[/tex]

Thus option C is correct

Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of one half. a. y − 6 = one half (x + 3) b. y = one half x − 6 c. y + 3 = one half (x − 6) d. x − 2y = 12

Respuesta :

Otras preguntas

Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of one half.

a.
y − 6 = one half (x + 3)

b.
y = one half x − 6

c.
y + 3 = one half (x − 6)

d.
x − 2y = 12