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3 years ago

Find the slope of the line that passes through: (-4,7) and (-6, -4)

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

Answer:

$\frac{11}{2}$ or 5.5

Step-by-step explanation:

In order to find the slope of a line using two points on a graph, you must use

$y_2-y_1/x_2-x_1$

Pluging in the points (-4,7) and (-6, -4) to the formula you will get:

$\frac{-4-7}{-6+4} =\frac{-11}{-2} =5.5$

The equation for the line would be $\frac{11}{2}$ x+29

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Which of the following lines is perpendicular to the line Y = 3x -4

andriy [413]

Answer:

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be $\frac{1}{3}$ , and $\frac{5}{1}$ would be -5. The equation is written in slope-intercept form:

$y=mx+b$

m is the slope, so find the equation with the opposite reciprocal of 3, $-\frac{1}{3}$ :

$y=-\frac{1}{3} x+4$ is the only option with the correct slope, so the answer is D.

6 0

3 years ago

Explain how knowing 50×4 = 200 helps you find 500 times 400.

skad [1K]

it equals to 200,000

4 0

3 years ago

Which equation could you use to find 15 ÷ 3? 15 + 3 = 18 18 – 3 = 15 3 × 5 = 15 30 ÷ 2 = 15

kondor19780726 [428]

3 x 5 = 15 because the opposite of dividing is multiplying

4 0

3 years ago

An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.

faltersainse [42]

Answer:

$y=-\frac{1}{100}(x-50)^2+25$

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

$y=a(x-h)^2+k$ , (h,k) is the center

$y=a(x-50)^2+25$

the parabola starts at (0,0) that is (x,y)

$0=a(0-50)^2+25$

subtract 25 from both sides

$-25=a(-50)^2$

$-25=a(2500)$

divide both sides by 2500

$a=-\frac{1}{100}$

$y=-\frac{1}{100}(x-50)^2+25$

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

$y=-\frac{1}{100}(40-50)^2+25$

y=24

the height of the arch 10 feet from the center is 24 feet

4 0

3 years ago

Abdul runs 7 miles in 64 minutes. How many minutes does he take per mile?

jekas [21]

64/7=9.14285714. It takes 9.14285714 or about 9 minutes to run a mile.

44/9=4.88888889. It takes 4.88888889 or about 5 dollars per hour.

Hoped I helped!

5 0

3 years ago

Read 2 more answers