Question

What is the slope of a line that is parallel to the line shown? (-3,2) and (0,-2)

Answer 1

- 4/3

Explanation:

Answer 2

Slope of a line which is parallel the line passes through (-3,2) and (0,-2) is
`(-4)/(3)`

Solution:

Slope of the line which is passes through
`\left(\mathrm{x}_(1), \mathrm{y}_(1)\right) \text { and }\left(\mathrm{x}_(2), \mathrm{y}_(2)\right)` is

`\bold{m=(y_(2)-y_(1))/(x_(2)-x_(1))}` ---- eqn 1

From question given that two points are (-3, 2), (0,-2). Hence we get

`x_(1)=-3 ; x_(2)=0 ; y_(1)=2 ; y_(2)=-2`

By substituting the values in equation (1),

`m=(-2-2)/(0+3)`

On simplifying above term,

`m=(-4)/(3)`

If two lines are parallel then slope of both lines should be equal. That is slope of the line which passes through (-3,2) and (0,-2) is
`(-4)/(3)` . so slope of a line which is parallel the line passes through (-3,2) and (0,-2) is also
`\bold{(-4)/(3)}`