Question

Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation y= 0.3x + 1; A(...;9), B(5;...) The slope is

Answer 1

`A = ((80)/(3),9)`

`B = (5,2.5)`

The slope is 0.3

Explanation:

Given

`y = 0.3x + 1`

`A = (-,9)`

`B = (5,-)`

Required:

Fill in the gap and calculate the slope

In
`A = (-,9)`

`y = 9` and x is ??

Substitute 9 for y in
`y = 0.3x + 1`

`9 = 0.3x + 1`

Collect Like Terms

`0.3x = 9 - 1`

`0.3x = 8`

`x = (8)/(0.3)`

`x = (80)/(3)`

So:

`A = (-,9)`

`A = ((80)/(3),9)`

In
`B = (5,-)`

`x = 5` and y is ??

Substitute 5 for x in
`y = 0.3x + 1`

`y = 0.3 * 5 + 1`

`y = 1.5 + 1`

`y = 2.5`

So:

`B = (5,-)`

`B = (5,2.5)`

Calculating the slope (m)

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

`m = (2.5-9)/(5 - (80)/(3))`

`m = (-6.5)/((15- 80)/(3))`

`m = (-6.5)/((-65)/(3))`

`m = (-6.5*3)/(-65)`

`m = (-19.5)/(-65)`

`m = 0.3`