Question

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?

Answer 1

Answer:

y=2x-1

Step-by-step explanation:

y-y1=m(x-x1)

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

y+1=2(x)

y+1=2x

y=2x-1

Answer 2

Answer:

See Explanation below

Step-by-step 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 $m = \frac{y - y_{1} }{x - x_{1}}$

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

$2 = \frac{y - (-1) }{x - 0}$

$2 = \frac{y + 1 }{x}$

$2x = y + 1$ --- 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