Question

Which of the following choices is the equation for the line that passes through the points (-4, 1) and (-3, 0) in slope-intercept form? y = -x + 5 y = -x – 3 y = x + 2 None of these choices are correct.

Answer 1

y = - x - 3

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 4, 1 ) and (x₂, y₂ ) = (- 3, 0 )

m =
`(0-1)/(-3-(-4))` =
`(-1)/(-3+4)` =
`(-1)/(1)` = - 1 , then

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 3, 0 )

0 = - 1(- 3) + c = 3 + c ( subtract 3 from both sides )

- 3 = c

y = - x - 3 ← equation of line