The equation of the line through the points (-1,1),(4,0),and(24,-4) is y = -1/5x + 4/5.
What is the equation of the line?
points(-1,1),(4,0),and(24,-4)
The equation of a line is given by
y = mx + b
Where,
m = slope
b = y-intercept
So
Slope, m = Change in y / change in x
= (-4 - 0) / (24 - 4)
= -4/20
= -1/5
Using point 1 (-1, 1)
y = mx + b
1 = -1/5(-1) + b
1 = 1/5 + b
1 - 1/5 = b
(5-1)/5 = b
4/5 = b
Therefore, y = -1/5x + 4/5