What is the slope, point, x-intercept, and y-intercept?
2 answers:
As for the slope, it is the deviation of the line from a horizontal. Slope is expressed as 
.
A point is any point on the coordinate plane. Points are expressed as an ordered pair in the form (x,y). Examples include (5,) and (2,1).
The x-intercept of a line is the point at which it intercepts, or intersects, the x-axis. In other words, it is the point where the line crosses the x-axis.
The y-intercept of a line is the point where it intercepts the y-axis.
A point is any point on the coordinate plane. Points are expressed as an ordered pair in the form (x,y). Examples include (5,) and (2,1).
The x-intercept of a line is the point at which it intercepts, or intersects, the x-axis. In other words, it is the point where the line crosses the x-axis.
The y-intercept of a line is the point where it intercepts the y-axis.
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Given to points to us are :-
- ( 3 , -6 )
- ( -1 , -8 )
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>