Sign In
Start by writing the equation in point-slope form. Then, rearrange it until it is in standard form.
2x+y=9
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 - 2 for m and (1,7) 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 - 2.
Distribute - 2
LHS+7=RHS+7
LHS+2x=RHS+2x
Commutative Property of Addition
We have rewritten the equation of the line in standard form. 2x+y=9 In this case, A=2, B=1, and C=9.