Mathematics
Grade-8
Easy

Question

The slope of the line in the graph is

  1. 5
  2. 2
  3. 2.5
  4. 10

Hint:

A line is a one-dimensional figure, which is consists of a set of points and it has no end points. Line is also known as the shortest distance between two points. Line can be expressed in form of an equation whose standard form is y=mx+c, where m is the slope of the line and c is the intercept of the line. Here, we have to write the slope of the line which can be done by using the points given in the question.

The correct answer is: 2.5


In the question from the given graph we have to find the slope of the line.
From the graph, we can say that the points along the line are (0,5) and (2,10).
Let (0,5) and (2,10) be open parentheses x subscript 1 comma y subscript 1 close parentheses space a n d space open parentheses x subscript 2 comma y subscript 2 close parentheses space r e s p e c t i v e l y.
Put the values of x subscript 1 comma space y subscript 1 comma space x subscript 2 space a n d space y subscript 2 space i n space m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction.
m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
rightwards double arrow m equals fraction numerator 10 minus 5 over denominator 2 minus 0 end fraction
rightwards double arrow m equals 5 over 2
rightwards double arrow m equals 2.5
So, the slope of the line joining the points (0,5) and (2,10) is 2.5.
Therefore the correct option is c, i.e., 2.5.

Slope of a line shows the inclination of a line. We can find the slope of a line using the points of the line using the formula m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction, where m is the slope of the line, x subscript 1 comma space y subscript 1 comma space x subscript 2 space a n d space y subscript 2 are the coordinates of the two points.

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