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What ratio is the slope of a line that is perpendicular toy = (2/7)x + 5

Sagot :

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]