Question

As a line becomes ___ the value of its slope gets bigger

Answer 1

As the line becomes _____ the value of its slope gets bigger..

Becomes "Steeper"

Answer 2

Answer with explanation:

→Slope of a Line = Angle made by line with the Positive Direction of X axis.

Slope of a line is represented by Alphabet 'm'.

⇒ m = tan Ф , Where ,Ф is the Angle made by line with positive direction of X axis.

Equation of Line in slope intercept form is

→ y= m x +C=x tan Ф +C,⇒0°≤Ф≤180° or range of tan Ф is from -∞ to +∞.

As, Slope gets Larger,that is value of tan Ф, increases

→As, a Line becomes ,Parallel to X axis(Equation of line will be,
`x=\pm k` ),the value of it's slope gets bigger.

→→As, a Line becomes ,Gradual Inclined,Perpendicular,or Abrupt,the value of it's slope gets bigger.