Question

Please help me with this problem ​

Answer 1

See below

Explanation:

m = slope of line graph

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

For each line, select two points whose x- and y-coordinates will be substituted in the above formula to calculate the slope

For line a:

I chose points

`(x_(1), y_(1))` =
`(1, 1)`

and

`(x_(2), y_(2))` =
`(4, 4)`

∴
`m_(a)` =
`(4 - 1)/(4 - 1)`

=
`(3)/(3)`

∴m = 1

For line b:

I chose points

`(x_(1), y_(1))` =
`(0, 1)`

and

`(x_(2), y_(2))` =
`(5, -3)`

∴
`m_(b)` =
`(-3 - 1)/(5 - 0)`

=
`(-4)/(5)`

∴m =
`-(4)/(5)` or
`-0.8`

For line c:

I chose points

`(x_(1), y_(1))` =
`(0, -4)`

and

`(x_(2), y_(2))` =
`(4, 0)`

∴
`m_(c)` =
`(0 - (-4))/(4 - 0)`

=
`(0 + 4)/(4)`

=
`(4)/(4)`

∴ m = 1