2) a 2 + b = 26; a (-4) + b = -16; then, a*6 = 42 => a = 7 => b = 26 -14 => b = 12;
from table, 7 9 + 12 = 63 + 12 = 75, correct; 7 (-8) + 12 = -56 + 12 = -44, correct;
slope = ( -44 + 16) / ( -8 + 4) = ( - 28) / (-4) = 7 = a;
To check if tables are from a linear equation, calculate the slope between different pairs of points. If the slope remains constant, the relationship is linear; if it changes, it's non-linear. Consistent slopes indicate the relationship can be expressed as a linear equation in the form y = m x + b .
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