Mathematics
Grade10
Easy

Question

Find the slope of the line.

  1. fraction numerator negative 5 over denominator 4 end fraction
  2. 5 over 4
  3. fraction numerator negative 4 over denominator 5 end fraction
  4. 4 over 5

hintHint:

Determine the coordinates of the points on the graph and apply slope formula.

The correct answer is: fraction numerator negative 5 over denominator 4 end fraction


    H e r e comma
T h e space f i r s t space c o minus o r d i n a t e space open parentheses x subscript 1 comma y subscript 1 close parentheses space equals space open parentheses 0 comma space minus 1 close parentheses
T h e space s e c o n d space c o minus o r d i n a t e space open parentheses x subscript 2 comma y subscript 2 close parentheses space equals space open parentheses negative 4 comma negative 4 close parentheses

T o space f i n d comma
S l o p e space o f space t h e space l i n e space equals space m

H e r e comma
s l o p e space o f space t h e space l i n e space equals space m space equals space fraction numerator y subscript 2 space minus space y subscript 1 over denominator x subscript 2 space minus space x subscript 1 end fraction space equals space fraction numerator negative 4 space minus space open parentheses negative 1 close parentheses over denominator negative 4 space minus space 0 end fraction space equals space fraction numerator negative 4 space plus space 1 over denominator negative 4 end fraction space equals space fraction numerator negative 3 over denominator negative 4 end fraction space equals space 3 over 4

T h e r e f o r e comma space t h e space s l o p e space o f space t h e space l i n e space i s space 3 over 4.

    The slope of the equation is the ratio of the change in the y-axis to the change in the x-axis.

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