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

1 Answer
Apr 25, 2016

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)