What is the slope of the line that passes through the points (−4,0) and (2, 0)? write your answer in simplest form.

We want to find the slope of a line given that we know two points on the line.

We will see that the slope of the line is 0.

Generally, if we know that a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of that line is given by:

Here we know that the line passes through (-4, 0) and (2, 0) then the slope will be:

The slope is equal to zero, meaning that this is a horizontal line (as you can see in the points, the y-component does not change).

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since both points have a y- coordinate of zero, this is a horizontal line parallel to the x- axis

hence slope = 0

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1