Question

What is the slope of the line that passes through the points (−6,−4) ) and (−12,−4)? Write your answer in simplest form.

Answer 1

0

Explanation:

To find the gradient of a line, we take the change in the y value divided by the change in the x value.

In this instance, the line passes through (-6, -4) and (-12,-4) , that means the line has a constant y value.

Following the equation to find gradient, we take the difference in y divided by the difference in x

`((-4) - (-4))/((-6) - (-12)) = (0)/(6) = 0`

and we see that the gradient is 0, which means that it is a flat line

Answer 2

Slope: 0

Explanation:

To find the slope use the expression y2 - y1/x2 - x1

Either of the coordinate can be y2 or y1 they just x1 and y1 have to be the same coordinate

Let's make (-12, -4) x2 and y2 & (-6, -4) x1 and y1

Next substitute the numbers into the expression

-4 +4/-12 + 6

This will equal 0/-6

The slope is only 0 because whenever you divide 0 by a number it will always be zero unless it is something like 14/0, this means it is undefined (only for slopes)