answer
f(-2) = 2/3
short explanation :
basically put -2 where the x is
in the line equation y = (-5/3)x + (8/3) =
2/3
longer explanation :
answer also in attached picture
there are 3 lines
use the one all the way on the left
get 2 plot points from there
they are ( x 1 , y 1 ) = (-4,4) & ( x 2 , y 2 ) = (-1, -1)
get slope = m = (y 2 − y 1 )/ (x 2 − x 1)
get equation of the line = y − y 1 = m ( x − x 1 )
To find the slope (m) of the line passing through the two given points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the given coordinates, we get:
m = (-1 - 4) / (-1 - (-4))
= (-5) / 3
Therefore, the slope of the line passing through the points (-4, 4) and (-1, -1) is -5/3.
To find the equation of the line, we can use the point-slope form:
y - y1 = m(x - x1)
Substituting the slope (m) and one of the given points (x1, y1), we get:
y - 4 = (-5/3)(x - (-4))
y - 4 = (-5/3)(x + 4)
y - 4 = (-5/3)x - (20/3)
y = (-5/3)x + (8/3)
Therefore, the equation of the line passing through the points (-4, 4) and (-1, -1) is y = (-5/3)x + (8/3)
y = (-5/3)(-2) + (8/3) = 2/3
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