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What is the equation of the line, in slope-intercept form, that passes through the
points (-2, -2) and
and (4, — 3)?


Sagot :

Answer:

y = [tex]\frac{-1}{6}[/tex]x - [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

1. Find the slope -3- -2 / 4 - -2  so -3+2/4+2, -1/6 so m = -1/6

2.  Find y intercept (b)   y = mx + b so -2 = -1/6(-2) + b, -2 = 1/3 + b

b = -2-1/3, b = -6/3 - 1/3, so b = -7/3

3.  Put it all together y = mx + b so y = -1/6x -7/3