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A line has a slope of 7. One of the points. On the line is (3,5). Which of the following could be another point on the line

Respuesta :

Answer:

(4,12) is another point.

The points on a line are the true values of the line equation

Another point on the line is (4,12)

The given parameters are:

[tex]\mathbf{m = 7}[/tex] --- slope

[tex]\mathbf{(x_1,y_1) = (3,5)}[/tex] --- the points on the line

So, the line equation is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = 7(x - 3) + 5}[/tex]

Open brackets

[tex]\mathbf{y = 7x - 21 + 5}[/tex]

[tex]\mathbf{y = 7x - 16}[/tex]

Assume x = 4.

So, we have:

[tex]\mathbf{y = 7 \times 4 - 16}[/tex]

[tex]\mathbf{y = 28 - 16}[/tex]

[tex]\mathbf{y = 12}[/tex]

Hence, another point on the line is (4,12)

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