Answer:
13x +4y = -28
Explanation:
You want the standard form of the equation for a line through (-4, 6) and (0, -7).
2-point form
One way to write an equation for a line through points (x1, y1) and (x2, y2) is ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
For the given points, this is ...
(-7 -6)(x -(-4)) -(0 -(-4))(y -6) = 0
-13x -52 -4y +24 = 0
Standard form
The standard form of the equation for a line is ...
ax +by = c
where a > 0, and a, b, c are mutually prime.
Adding 13x +4y to the above equation gives ...
13x +4y = -28
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Additional comment
We could get this by simplifying the above equation to ...
-13x -4y -28 = 0
and then multiplying by -1 and subtracting 28. We decided one step was easier, and we didn't have to deal with multiplication by a negative number.