Find the equation for the line that passes through the points

Question

(8,-1) and (-9,4) Give your answer in point-slope form. You do not need to simplify.

Answer 1

The point-slope form of a linear equation is given by:

(y - y₁) = m(x - x₁)

where (x₁, y₁) is a point on the line and m is the slope of the line.

To find the slope, we can use the formula:

m = (y₂ - y₁)/(x₂ - x₁)

Using the points (8, -1) and (-9, 4):

m = (4 - (-1))/(-9 - 8)
= 5/-17

Now we can substitute one of the points and the slope into the point-slope form:

(y - (-1)) = (5/-17)(x - 8)

Simplifying, we get:

(y + 1) = (-5/17)(x - 8)

Therefore, the equation in point-slope form is:

(y + 1) = (-5/17)(x - 8)