Question

Write an equation of the line passing through each of the following pairs of points. b (5, 7), (−6, −3)

Answer 1

y = 10/11 x + 2.45

Explanation:

Equation of the line

First find the gradient

formula =
`(y2-y1)/(x2-x1)`

=
`(-3-7)/(-6-5)`

=
`(-10)/(-11)`

= 10/11

m is the gradient

equation of a line

y- y1 = m(x-x1)

y-7 = 10/11 (x-5)

y-7 =
`(10)/(11)x` -
`(50)/(11)`

y = 10/11 x + 2.45

NB i rounded of -50/11 +7 = 2.4545..... to 2.45