Question

4.

Is the relationship shown by the data linear? If so, model the data with an equation.

A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).

Answer 1

D. The relationship is linear; y + 9= -4/5(x + 2).

Explanation:

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