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Start by writing the equation in point-slope form. Then, rearrange it until it is in standard form.
3x-y=-3
We are given the slope and a point that lies on the line. This is enough information to write the equation in point-slope form.
y-y_1=m(x-x_1)
Let's do this first and then we will rewrite it in standard form.
We can write the equation in point-slope form by substituting 3 for m and (1,6) for (x_1,y_1).
Now that we have the equation in point-slope form, let's rearrange it until it is in standard form. Ax+By=C In the above formula, A, B, and C are constants. We will start by distributing 3.
Distribute 3
LHS+6=RHS+6
LHS-3x=RHS-3x
Commutative Property of Addition
LHS * (-1)=RHS* (-1)
We have rewritten the equation of the line in standard form. 3x-y=-3 In this case, A=3, B=-1, and C=-3.