Answer:
b.[tex]y=-\frac{1}{5}x+\frac{1}{2}[/tex]
Step-by-step explanation:
We have to find the linear which has same slope as the slope represented by the table.
Slope formula :m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By using the formula and substitute [tex]y_1=\frac{1}{5},y_2=\frac{7}{50},x_1=-\frac{1}{2},x_2=-\frac{1}{5}[/tex]
Slope=[tex]\frac{\frac{7}{50}-\frac{1}{5}}{-\frac{1}{5}+\frac{1}{2}}[/tex]
Slope=[tex]\frac{-\frac{3}{50}}{\frac{3}{10}}[/tex]
Slope=[tex]-\frac{3}{50}\times \frac{10}{3}[/tex]
Slope=[tex]-\frac{1}{5}[/tex]
a.[tex]y=-\frac{1}{2}x+\frac{1}{10}[/tex]
Compare with
[tex]y=mx+b[/tex]
we get m=[tex]-\frac{1}{2}[/tex]
Slope=[tex]-\frac{1}{2}[/tex]
Hence, option A is false.
b.[tex]y=-\frac{1}{5}x+\frac{1}{2}[/tex]
Slope of given function=[tex]-\frac{1}{5}[/tex]
It is true.
c.[tex]y=\frac{1}{5}x-\frac{1}{2}[/tex]
Slope of given function=[tex]\frac{1}{5}[/tex]
Hence, option is false.
d.[tex]y=\frac{1}{2}x-\frac{1}{10}[/tex]
Slope of given function=[tex]\frac{1}{2}[/tex]
Hence, option is false.
