Question

The linear function that is represented by which table has the same slope as the graph? (the tables are the choices)

Answer 1

HEY THERE.

THE CORRECT ANSWER IS TABLE 3

Answer 2

Answer with explanation:

Slope between two points having coordinates,$(x_{1},y_{1}),(x_{2},y_{2})$  which lie in a coordinate plane is given by:

   $=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

1.. Slope of linear function given in table 1, can be calculated by

  $=\frac{-7-(-9)}{-21-(-25)}\\\\=\frac{2}{-21+25}\\\\=\frac{2}{4}\\\\=\frac{1}{2}$

2. Slope of linear function given in table 2, can be calculated by

  $=\frac{7-9}{-21-(-25)}\\\\=\frac{-2}{-21+25}\\\\=\frac{-2}{4}\\\\=\frac{-1}{2}$

3. Slope of linear function given in table 3, can be calculated by

  $=\frac{-21-(-25)}{-7-(-9)}\\\\=\frac{-21+25}{-7+9}\\\\=\frac{4}{2}\\\\=\frac{2}{1}=2$

4. Slope of linear function given in table 3, can be calculated by

  $=\frac{-13-(-9)}{3-1}\\\\=\frac{-4}{2}\\\\=\frac{-2}{1}\\\\=-2$

→Now, slope of line which passes through (0,-3) and (3,3) is

$=\frac{3-(-3)}{3-0}\\\\=\frac{6}{3}\\\\=2$

→→→Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.