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What is the slope of the line that contains the points negative 3, negative seven halves and (2, −4)?

one fourth
one tenth
negative one tenth
negative one fourth

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Answer:

0.7

Step-by-step explanation:

This question tests on the concept of slope or gradient of a line.

We know that the equation, m, for a slope =

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

We can identify 2 points from the question as (x1, y1) and (x2, y2) to solve for the gradient, and therefore they are:

(x1,y1) as (-3,-7.5)

(x2,y2) as (2,-4)

Now we can substitute these values in to solve for the slope.

[tex] \frac{ - 4 - ( - 7.5)}{2-(-3)} \\ = \frac{ - 4 + 7.5}{5} \\ = \frac{3.5}{5} \\ = \frac{7}{ 10} \\ = 0.7[/tex]

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