Respuesta :

Answer:

-7/4

Step-by-step explanation:

Line A is the blue one.

I see two points they have identified for me:

(-7,0) and (0,4).

To find the slope of the line A given two points we could use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

We could also line up the points vertically and subtract, then put 2nd difference over 1st difference.

Like this:

(-7,0)

-(0,4)

-------

-7   -4

So the slope is -4/-7=4/7

So the slope of a line that is perpendicular will have opposite reciprocal slope. That is the opposite reciprocal of 4/7 is -7/4.

Therefore the slope of a line that is perpendicular to A will have slope -7/4.

kudzordzifrancis

Answer:

[tex] - \frac{7}{4} [/tex]

Step-by-step explanation:

We use the slope formula to fine the slope of line A.

[tex] m = \frac{y_2-y_1}{x_2-x_1} [/tex]

Line A passes through (-7,0) and (0,4)

[tex]m = \frac{4 - 0}{0 - - 7} [/tex]

[tex]m = \frac{4}{7} [/tex]

The slope of a line that is perpendicular to line A is the negative reciprocal of the slope of line A

[tex] - \frac{7}{4} [/tex]

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