Find the equation of the line through the points (-3,3) and (3,5) using point-slope form. Then rewrite the equation in slope-intercept form.

Given:

A line passes through the points (-3,3) and (3,5).

To find:

The equation of the line by using point slope form, then rewrite the equation in slope-intercept form.

Solution:

It is given that the line passes through the points (-3,3) and (3,5). So, the slope of the line is:

The point slope form of a line is:

Where, m is the slope.

The point slope form of the given line is:

The point slope form of the given line is .

We need to rewrite this equation in slope intercept form, i.e.,  , where m is slope and b is y-intercept.

The above equation can be rewritten as:

Therefore, the slope intercept form of the given line is .

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where's the diagram?

step-by-step explanation: