Write an equation for the line parallel to the line
shown that passes through the point (-2.3)

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

To find the slope, we need two points, according to the graph we have:

The slope is:

Therefore, the equation is of the form:

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:

We substitute the point through which the line passes and find "b":

Finally, the equation is:

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step-by-step explanation:

(sorry i'm not typing it again just read the other two explanation sections i just typed it'll be the same.)