Is the relationship shown by the data linear? If so, model the data with an equation. x y –9 –2 –5 –7 –1 –12 3 –17
Mathematics
lulkayy17
Question
Is the relationship shown by the data linear? If so, model the data with an equation. x y –9 –2 –5 –7 –1 –12 3 –17
1 Answer

1. User Answers Anonym
yes its linear because the x values increase by a constant value 4 and the y values by a constant value 5.
one general form for a linear equation is
y  y1 = m(x  x1) m = slope and (x1,y1) is a point on the line
from the data the slope iis (7(2)) / (5(9) = 5 / 4
so using the point (3, 17):
y  (17) = (5/4) ( x  3)
y + 17 = 5x/4 + 15/4
4y + 68 = 5x + 15
4y = 5x  53
thats the equation of the line