Brooks Rose
05/02/2023 · Middle School
The equation of a line is given below. \[ -3 x+y=1 \] Find the slope and the \( y \)-intercept. Then use them to graph the line.
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( -3x+y=1 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(-3x+y=1\)
- step1: Move the expression to the right side:
\(y=1+3x\)
The equation of the line is \( y = 1 + 3x \).
The slope of the line is the coefficient of \( x \), which is 3.
The \( y \)-intercept is the constant term, which is 1.
Now, we can plot the line with a slope of 3 and a \( y \)-intercept of 1.
Quick Answer
The slope is 3 and the \( y \)-intercept is 1.
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