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The points (-10,4) and (-6, r) lie on a line with slope 1/4, Find the missing coordinate, r.

2 Answers

6 votes

Answer:

r = 5

Explanation:

In order t find the missing coordinate, r, we can use the slope formula:


\sf m = (y_2 - y_1)/(x_2 - x_1)

where m is the slope of the line, (x1, y1) is the first point, and (x2, y2) is the second point.

We are given that the slope of the line is 1/4, and the first point is (-10, 4). We are asked to find the missing coordinate, r, of the second point, (-6, r).

Substituting these values into the slope formula, we get:


\sf (1)/(4) = (r - 4 )/(-6-(-10))


\sf (1)/(4) = (r -4 )/(4)

Multiply both sides by 4.


\sf (1)/(4) \cdot 4= (r -4 )/(4)\cdot 4


\sf 1 = r - 4

Add 4 on both sides.


\sf 1 + 4 = r - 4 +4


\sf r = 5

Therefore, the missing coordinate(r), is 5.

User Annakata
by
8.6k points
3 votes

Answer:

r = 5

Explanation:

We know

The slope = (y2 - y1) / (x2 - x1)

m = 1/4

Points: (-10,4) and (-6, r)

Find r.

We substitute the number in the equation.

1/4 =
((r-4))/((-6-(-10)))

1/4 =
((r-4))/(4)

Multiply both sides by 4

1 = r - 4

r = 5

So, the answer is r = 5

User Piterio
by
8.2k points

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