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arsen [322]
3 years ago
11

Complete the description of the slope of the line that joins the points

Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer:

The slope of the line that joins the points is negative.

i.e m = -6/5

Step-by-step explanation:

Taking two points from the graph to determine the slope

  • (-3, 4)
  • (2, -2)

Finding the slope between (-3, 4),(2, -2)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}'

\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)

m=\frac{-2-4}{2-\left(-3\right)}

m=-\frac{6}{5}

Therefore, the slope of the line that joins the points is negative.

i.e m = -6/5

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The nth term of a sequence is given by 3n² + 11 Calculate the difference between the 6th term and the 9th term of the sequence.​
katovenus [111]

The difference between the 6th term and the 9th term of the sequence is 135

<h3>How to determine the difference</h3>

Given that the nth term is;

3n² + 11

For the 6th term, the value of n is 6

Let's solve for the 6th term

= 3( 6)^2 + 11

= 3 × 36 + 11

= 108 + 11

= 119

For the 9th term, n = 9

= 3 (9)^2 + 11

= 3( 81) + 11

= 243 + 11

= 254

The difference between the 6th and 9th term

= 254 - 119

= 135

Thus, the difference between the 6th term and the 9th term of the sequence is 135

Learn more about algebraic expressions here:

brainly.com/question/4344214

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