On a coordinate plane, a line with negative slope goes through (negative 8, 6) and (4, negative 4). A point is at (negative 6, 1
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Rewriting the equation of the given line in slope-intercept form,
The slope of the given line is thus 8/7, and since parallel lines have the same slope, the slope of the line we want to find is also 8/7.
Substituting into point-slope form,
We are given a system of equations,
This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),
The matrix will then be applied to the vector (lower dimensions on top),
And the result vector will be whats on the other side of equals sign,
So to put everything together,
Hope this helps :)