y - 0 = \frac { 1 } { 4 } ( x - ( - 1 )
Solve for x
x=4y-1
Solve for y
y=\frac{x+1}{4}
Graph
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y-0=\frac{1}{4}\left(x+1\right)
The opposite of -1 is 1.
y-0=\frac{1}{4}x+\frac{1}{4}
Use the distributive property to multiply \frac{1}{4} by x+1.
\frac{1}{4}x+\frac{1}{4}=y-0
Swap sides so that all variable terms are on the left hand side.
\frac{1}{4}x=y-0-\frac{1}{4}
Subtract \frac{1}{4} from both sides.
\frac{1}{4}x=y-\frac{1}{4}
Reorder the terms.
\frac{\frac{1}{4}x}{\frac{1}{4}}=\frac{y-\frac{1}{4}}{\frac{1}{4}}
Multiply both sides by 4.
x=\frac{y-\frac{1}{4}}{\frac{1}{4}}
Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.
x=4y-1
Divide y-\frac{1}{4} by \frac{1}{4} by multiplying y-\frac{1}{4} by the reciprocal of \frac{1}{4}.
y-0=\frac{1}{4}\left(x+1\right)
The opposite of -1 is 1.
y-0=\frac{1}{4}x+\frac{1}{4}
Use the distributive property to multiply \frac{1}{4} by x+1.
y=\frac{1}{4}x+\frac{1}{4}+0
Add 0 to both sides.
y=\frac{1}{4}x+\frac{1}{4}
Add \frac{1}{4} and 0 to get \frac{1}{4}.
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