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# Based on the table of values below, find the slope between points where x = 3 and where x = 7.

X | Y |

3 | 1 |

4 | 6 |

7 | 9 |

# (i) -4

(ii) 1/4

(iii) 1

(iv) 2

**Solution:**

**The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.**

We have to find the slope of line joining points (3, 1) and (7, 9)

Let A (x₁, y₁) and Q (x₂, y₂) be the two given points.

The straight line AB is non-vertical, x_{2} ≠ x_{1}.

**The slope of the line joining two points is given by,**

m = (y_{2} - y_{1})/ (x_{2} - x_{1})

= (9 - 1)/ (7 -3)

= 8/4 = 2

**Therefore,**

**Option (iv) is the answer.**

## Based on the table of values below, find the slope between points where x = 3 and where x = 7.

X | Y |

3 | 1 |

4 | 6 |

7 | 9 |

(i) -4

(ii) 1/4

(iii) 1

(iv) 2

**Summary: **

The slope, m, between points where x = 3 and x = 7 is 2.

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