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If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

User Lelouch
by
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2 Answers

3 votes

Answer:

y=2x-1

Explanation:

y-y1=m(x-x1)

y-(-1)=2(x-0)

y+1=2(x)

y+1=2x

y=2x-1

User Bharathi
by
8.3k points
2 votes

Answer:

See Explanation below

Explanation:

Topic: Gradient and Slope

To get the other points, first, we must calculate the equation of the line using the slope formula.

Given

Point (0, -1)

Slope, m = 2

The Slope of a line is calculated by
m = (y - y_(1) )/(x - x_(1))

Given that a point on the line is (0, -1), then
(x_(1) , y_(1)) = (0, -1)

Substitute each of these values in the formula above, we have


2 = (y - (-1) )/(x - 0)


2 = (y + 1 )/(x)


2x = y + 1 --- Make y the subject of formula


y = 2x - 1

This equation can then be used to get the other points that lies on the slope.

Take for instance Point
(x , y) = (4, 7)

By Substitution, we have


y = 2x - 1 becomes


7 = 2*4 - 1


7 = 8 - 1


7 = 7

Hence, the point
(4, 7) lies on the plane

User Subrat
by
8.4k points

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