Answer :
Answer:
Slope = -7/2
Explanations:The slope-Intercept form of the equation of a line is given as:
y = mx + c
where m represents the slope and
c represents the intercept
The given equation is:
[tex]y\text{ = }\frac{2}{7}x\text{ + 5}[/tex]Comparing the equation above to y = mx + c
m = 2/7
The slope of the line perpendicular to y = mx + c is:
Slope = -1/m
Since m = 2/7
[tex]\begin{gathered} \text{Slope = -1 }\div\text{ }\frac{2}{7} \\ \text{Slope = -1}\times\frac{7}{2} \\ \text{Slope = }\frac{-7}{2} \\ \end{gathered}[/tex]