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Eduardwww [97]
2 years ago
13

PLEASE HEPP IM STUCK

Mathematics
1 answer:
Ann [662]2 years ago
8 0

Answer:

m = -4

Step-by-step explanation:

We are given that a line intersects the points (-2, 9) and (3, -11).

We want to write the slope of this line.

The slope (m) can be found using the formula \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points.

Even though we have everything we need to calculate the slope, let's label the values of the points to avoid any confusion & mistakes.

x_1=-2\\y_1=9\\x_2=3\\y_2=-11

Now substitute these values into the formula (remember that the formula has subtraction).

m= \frac{y_2-y_1}{x_2-x_1}

m=\frac{-11-9}{3--2}

Simplify.

m=\frac{-11-9}{3+2}

Subtract the values on top.

m=\frac{-20}{3+2}

Now add the values on the bottom together.

m=\frac{-20}{5}

Now divide -20 by 5.

<u>m = -4</u>

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igor_vitrenko [27]

The <em><u>correct answer</u></em> is:

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Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

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This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

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