Question

Find the slope of the line that passes through the following points

Answer 1

A to B: 3/4
C to D: 1/2
E to F: 1/6

Explanation:

To find the slope of a line given two ordered pairs, we place them into slope formula. The slope formula is
`(Y2 - Y1)/(X2 - X1)`, where (X1, Y1) and (X2, Y2) are the two given points.

A) (10, 4) and B) (-2, -5)

=
`(By - Ay)/(Bx - Ax) = (-5 - 4)/(-2 - 10) = (-9)/(-12) =(-3)/(-4) = (3)/(4)`

The slope of the line through points A and B is 3/4

C) (-7, 1) and D) (7, 8)

=
`(Dy - Cy)/(Dx - Cx) = (8 - 1)/(7 - (-7)) = (7)/(7+7) = (7)/(14) = (1)/(2)`

The slope of a line through points C and D is 1/2

E) (4,
`1(2)/(3)`) and F) (-2,
`(2)/(3)`)
Before starting, I would convert the mixed number 1 and (2/3) into an improper fraction to make the subtraction easier.

=
`(Fy - Ey)/(Fx - Ex) = ((2)/(3) - (5)/(3))/(-2- 4) = ((2-5)/(3))/(-6) = ((-3)/(3))/(-6) = (-1)/(-6) = (1)/(6)`

The slope of a line through points E and F is 1/6