Question

choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half. (1 point)

Answer 1

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

The equation of a line is represented as,

y = mx + c                                       equation1

x and y are the coordinates of the point from where the line is passing and m is the slope of the line.

As per the question the line is passing from the point (6, -3). This means value of x = 6 and that of y = -3. The slope of line is (1/2), means m = (1/2).

The slope of the line through the point (-1,6) can also be written as   (y - 6)/(x - (-1))  =  (y-6)/(x+1).

i.e., m = (y-6)/(x+1)

On equating both the values of m, we will get

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

On simplifying, we get

2y - 12 = x +1

or  2y - x = 13

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

To know more about Straight Lines refer to the link:

brainly.com/question/25969846

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