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The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).2/3

Respuesta :

The slope perpendicular to 2/3, would be -3/2
calculista

we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

[tex]m1*m2=-1[/tex]

In this problem we have

[tex]m1=\frac{2}{3}[/tex]

Substitute in the formula and solve for m2

[tex]\frac{2}{3}*m2=-1[/tex]

[tex]m2=-\frac{3}{2}[/tex]

therefore

the answer is

The slope is equal to [tex]-\frac{3}{2}[/tex]

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