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2 years ago

HELPPP on edge what’s the slope

Mathematics

2 answers:

LUCKY_DIMON [66]2 years ago

5 0

It’s the second one -3/4
i took this class last year

Olin [163]2 years ago

4 0

Answer:

The second option, the slope of this line is $-\frac{3}{4}$ .

Step-by-step explanation:

In order to find the slope we first have to take two points on the line. Let the first point be (0, 1) and the second point be (4, - 2). Now we can use the following formula to determine the slope...

$m = \frac{y - y_{1} }{x - x_{1} }$

In this formula "m" is the slope, "x" and "y" are the x and y coordinates of the first point that we chose, while " $x_{1}$ " and " $y_{1}$ " are the x and y coordinates of the second point that we chose. Now we have to substitute the values and we get that...

$m = \frac{y - y_{1} }{x - x_{1} }\\\\m = \frac{1 - (-2)}{0 - 4} \\\\m = \frac{1 + 2}{-4} \\\\m = \frac{3}{-4} \\\\m = -\frac{3}{4}$

Therefore, the slope of this line is $-\frac{3}{4}$ .

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zavuch27 [327]

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2 years ago

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2 years ago

Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

8 0

3 years ago

A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perim

HACTEHA [7]

Answer:

(24x + 24) units

Step-by-step explanation:

A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:

Perimeter = 2(length + width)

Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:

Perimeter = 2(2x + 11 + 10x + 1)

Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)

Perimeter = (24x + 24) units

7 0

2 years ago