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HELP ASAP


You observe that the line shown below passes through the point (0,4) and has a slope of 1/2. You choose (x,y) as an arbitrary point on the line other than (0,4) and use the fact that the slope of a line is constant to write which equation?

HELP ASAPYou observe that the line shown below passes through the point 04 and has a slope of 12 You choose xy as an arbitrary point on the line other than 04 a class=
HELP ASAPYou observe that the line shown below passes through the point 04 and has a slope of 12 You choose xy as an arbitrary point on the line other than 04 a class=

Respuesta :

Answer:

A. [tex]\frac{y-4}{x-0}=\frac{1}{2}[/tex]

Step-by-step explanation:

The slope of the given line is [tex]\frac{1}{2}[/tex]

The point (x,y) is an arbitrary point on this line.

Also the point (0,4) is on this line.

Using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}=m[/tex]

We substitute the points (0,4) and the arbitrary point (x,y);

[tex]\frac{y-4}{x-0}=\frac{1}{2}[/tex]

The correct answer is option A