Answer with explanation:
Slope between two points having coordinates,[tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] which lie in a coordinate plane is given by:
[tex]=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
1.. Slope of linear function given in table 1, can be calculated by
[tex]=\frac{-7-(-9)}{-21-(-25)}\\\\=\frac{2}{-21+25}\\\\=\frac{2}{4}\\\\=\frac{1}{2}[/tex]
2. Slope of linear function given in table 2, can be calculated by
[tex]=\frac{7-9}{-21-(-25)}\\\\=\frac{-2}{-21+25}\\\\=\frac{-2}{4}\\\\=\frac{-1}{2}[/tex]
3. Slope of linear function given in table 3, can be calculated by
[tex]=\frac{-21-(-25)}{-7-(-9)}\\\\=\frac{-21+25}{-7+9}\\\\=\frac{4}{2}\\\\=\frac{2}{1}=2[/tex]
4. Slope of linear function given in table 3, can be calculated by
[tex]=\frac{-13-(-9)}{3-1}\\\\=\frac{-4}{2}\\\\=\frac{-2}{1}\\\\=-2[/tex]
→Now, slope of line which passes through (0,-3) and (3,3) is
[tex]=\frac{3-(-3)}{3-0}\\\\=\frac{6}{3}\\\\=2[/tex]
→→→Table 3,
x : -9 -7 -5 -3 -1
y: -25 -21 -17 -13 -9
has same slope as line given equal to 2.
