A line has slope \(3\) and cuts the y-axis at the point \((0,\,-4)\). What is its equation?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(y=3x-4\)
A line with slope \(m\) that cuts the y-axis at \((0,\,c)\) has the equation \(y=mx+c\); \(c\) is its y-intercept.
Slope \(m=3\)
The line meets the y-axis at \((0,\,-4)\), so \(c=-4\)
Equation: \(y=3x-4\)