Question

Find the equation for the line that passes through the points (-9, 8) and (-4,-4). Give youranswer in point-slope form. You do not need to simplify.

Answer 1

Given:

The points are (-9,8) and (-4,-4).

Required:

We need to find the line equation in point-slope form.

Step-by-step explanation:

Consider the slope equation.

`slope,\text{ m=}(y_2-y_1)/(x_2-x_1)`

`Slope,\text{ m=}(-4-8)/(-4-(-9))`

`Slope,\text{ m=}(-12)/(-4+9)`

`Slope,\text{ m=}(-12)/(5)`

Consider the point (-9,8).

Consider the point-slope form of the equation.

`(y-y_1)=m(x-x_1)`
`Substitute\text{ }m=-(12)/(5),y_1=8,\text{ and }x_1=-9\text{ in the equation.}`

`(y-8)=-(12)/(5)(x-(-(-9))`

`(y-8)=-(12)/(5)(x+9)`

Final answer:

`(y-8)=-(12)/(5)(x+9)`