Question

En the line below.

Write the point-slope form of the given line that passes through the points (-4, -1) and (3, -3). Identify (x1, y1) as (-4, -1).Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answer 1

y + 1 = -
`(2)/(7)` (x + 4)

Explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

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

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)

m =
`(-3+1)/(3+4)` =
`(-2)/(7)` = -
`(2)/(7)`

and (x₁, y₁ ) = (- 4, - 1), then

y - (- 1) = -
`(2)/(7)` ( x - (- 4) ) , that is

y + 1 = -
`(2)/(7)`(x + 4) ← equation of line