Write an equation of a line that is parallel to the line containing the points (0,-7) and (5,12)

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

Where:

m: It's the slope

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

We have the following points through which the line passes:

Thus, the slope of the line is:

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

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.