A line has slope \(-2\) and cuts the y-axis at the point \((0,\,5)\). What is its equation?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(y=-2x+5\)
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 \(m=-2\)
The line meets the y-axis at \((0,\,5)\), so \(c=5\)
Equation: \(y=-2x+5\)