What is the slope of the line with equation y-3=-1/2(x-2)

The slope of the line with equation; y-3 = -1/2(x-2) is; slope, m = -1/2.

According to the question, the equation of the line in discuss is; y-3 = -1/2(x-2).

To determine the slope of the line, we need to rearrange the equation such that it resembles the slope-intercept form of the equation of a straight line as follows;

The equation of a straight line; y = mx + c.

Now, we expand the equation of the line and rearrange as follows;

By comparison, the slope of the line given bey the equation, y-3=-1/2(x-2) is; slope, m = -1/2.

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Step-by-step explanation:

The equation of a line in the pending intersection form is:

Where m is the slope of the line and b is the intersection with the y axis.

In this case we have the following equation

To find the slope of this line you must rewrite it in the form

Then we solve the equation for y.

Note that

Finally the slope is:

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation: