Mathematics
Grade-8
Easy

Question

Find the slope of the line that passes through the points (2, 4) and (6, 12)

  1. 1 half
  2. negative 1 half
  3. 2
  4. -2

hintHint:

Slope of the line (m) = y2 - y1 / x2 - x1

The correct answer is: 2


    linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers.  A linear function represents a line, i.e., its graph is a line. Here,
    • 'm' is the slope of the line
    • 'b' is the y-intercept of the line
    • 'x' is the independent variable
    • 'y' (or f(x)) is the dependent variable
    To find slope of the line (m) = fraction numerator y 2 space minus space y 1 over denominator x 2 space minus space x 1 end fraction
    (x1,y1) = (2,4) and (x2, y2) = (6,12)
    m space equals space fraction numerator 12 space minus space 4 over denominator 6 space minus 2 end fraction space equals space 8 over 4 space equals space 2
T h u s comma space t h e space s l o p e space o f space t h e space l i n e space t h a t space p a s s e s space t h r o u g h space t h e space p o i n t s space left parenthesis 2 comma space 4 right parenthesis space a n d space left parenthesis 6 comma space 12 right parenthesis space i s space 2.

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