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What is the y-intercept of the line perpendicular to the line y = three fourthsx 3 that includes the point (3, 1)? negative five fourths 3 negative thirteen fourths 5.

Sagot :

79j

Answer:

5

Step-by-step explanation:

We know that the slope of a line perpendicular to another line is the opposite and also the reciprocal, so the slope of the line would be [tex]-\frac{4}{3}[/tex]. The line includes the point (3, 1), so we can substitute the points into the equation to find the y-intercept:

[tex]1=-\frac{4}{3} (3)+x[/tex]

In this case, [tex]x[/tex] is the y-intercept.

[tex]1=-4+x\\5=x[/tex]

The y-intercept would be 5.

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