Given two points (0,3) and (-1,3)

Question

draw a straight line joining these two points
What's the equation of this straight line
What is gradient of this straight line
What does the gradient indicate about this line in relation to the x-axis

Answer 1

To draw a straight line joining two points (0,3) and (-1,3), plot these points on a coordinate grid and connect them with a line.

Using the points (0,3) and (-1,3), we can find the equation of the straight line using the point-slope form. The equation is given by:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents one of the given points, and m represents the gradient (slope) of the line.

Using the point (0,3) as (x₁, y₁), the equation becomes:

y - 3 = m(x - 0),

y - 3 = mx.

Since the y-coordinate of both given points is 3, we can say that the line is a horizontal line as it doesn't change its height (y-coordinate) as x changes.

The gradient (slope) of this straight line is 0. As the gradient represents the change in the y-coordinate for a given change in the x-coordinate, a gradient of 0 indicates that there is no change in the y-coordinate as x increases or decreases. This means that the line is parallel to the x-axis.