Question

How do you write the equation of the line with point P(-10,1) with slope -5?

Answer 1

`y - 1 = -5(x + 10)`

Explanation:

Use the point-slope form:
`y - y_1 = m(x- x_1)`

We know that in the slope-intercept formula (`y = mx +b`), the `m` value is the slope. Similarly, in point-slope form, the `m` is also the slope.

We are given that the slope is equal to -5. Also, there's point P(-10,1). The part where we have `y_1` and `x_1`, we can replace it with the corresponding x- and y-coordinates. The x-coordinate in this case would be -10 and the y-ccordinate in this case would be 1. Let's substitute all of these values into its corresponding area in the formula.

`y - 1 = -5(x - (-10))`
Which can also be written as `y - 1 = -5(x+ 10)`