Answer: 7/2
Step-by-step explanation:
Since we know that the property of perpendicular lines says that the product of slopes of two perpendicular line is -1 .
Let m be the slope of line which is perpendicular to the line with slope [tex]\dfrac{-2}{7}[/tex]
Therefore by the property of perpendicular lines we have
[tex]m\times\dfrac{-2}{7}=-1\\\\\Rightarrow\ m=\dfrac{7}{2}[/tex]
Hence , the The slope of a line that is perpendicular to a line whose slope is -2/7 is 7/2.
