Indicate the equation of the line through (2, -4) and having slope of 3/5.
2 answers:
Comment
The slope is just read, and the point is used to determine b in the general equation.
General Formula
y = mx + b
Givens
m = 3/5
b is derived from (2,-4)
Derivation
y = 3/5 x + b The slope is solved.
y = -4 when x = 2
-4 = 3/5 2 + b
-4 = 3*2/5 + b
-4 = 6/5 + b Subtract 6/5 from both sides
-4 - 6/5 = b Multiply top and bottom of 4 by 5 to bring it to a common denominator of 5
-26/5 = b
Final equation
y = 3/5 x - 26/5 <<<<<< answer
Discussion
If there are choices you should list them, because this question can be written other ways.
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Explanation:
Basically, you can do it in many ways. But just, in my opinion, exactly linear algebra was made for such cases.
the optimal way is to do it with Cramer's rule.
First, find the determinant and then find the determinant x, y, v, u.
Afterward, simply divide the determinant of variables by the usual determinant.
eg. and etc.
I think that is the best way to solve it without a hustle of myriad of calculations reducing it to row echelon form and solving with Gaussian elimination.
Answer: I don’t know what options you have but I graphed it in the picture linked below
