Question

For each pair of points, find the slope of the line that passes through both points.

a. (1,1) and (7,5)

b. (1,1) and (5,7)

c. (2,5) and (-1, 2)

d. (2,5) and (-7,-4

Answer 1

Explanation:

a. (1,1) and (7,5)

b. (1,1) and (5,7)

c. (2,5) and (-1, 2)

d. (2,5) and (-7,-4)

Slope of the line that passes through the points

The slope =
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

a. (1,1) and (7,5) ;

slope =
`(5-1)/(7-1)` =
`(4)/(6)`

slope =
`(2)/(3)`

b. (1,1) and (5,7)

slope =
`(7-1)/(5-1)` =
`(6)/(4)`

slope =
`(3)/(2)`

c. (2,5) and (-1, 2)

slope =
`(2-5)/(-1 - 2)` =
`(-3)/(-3)`

slope = 1

d. (2,5) and (-7,-4)

slope =
`(-4 - 5)/(-7 - 2)`

slope =
`(-9)/(-9)` = 1