Question

Please help me with question 1 please and thanks

Answer 1

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

Explanation:

The slope of a line is denoted by m and is given as:

`m = (y_2-y_1)/(x_2-x_1)`

Calculating the slope one by one for each pair.

(1,1) and (7,5):

Let m1 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (7,5)

Putting values in formula

`m_1 = (5-1)/(7-1)\\= (4)/(6)\\=(2)/(3)`

(1,1) and (5,7):

Let m2 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (5,7)

Putting values in formula

`m_2 = (7-1)/(5-1)\\m_2=(6)/(4) = (3)/(2)`

(2,5) and (-1,2):

Let m3 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-1,2)

Putting values in formula

`m_3 = (2-5)/(-1-2)\\m_3 = (-3)/(-3) = 1`

(2,5) and (-7,-4):

Let m4 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-7,-4)

Putting values in formula

`m_4 = (-4-5)/(-7-2)\\m_4 = (-9)/(-9) = 1`

Hence,

The points and their respective slopes are as follows:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1