All categories

3 years ago

Describe the relationship between x and why in a line with negative slope

Mathematics

1 answer:

bulgar [2K]3 years ago

3 0

In a line with negative slope, as x increase, y decreases.

You might be interested in

Plzzz help me with this I’ll give brainliest

scoray [572]

Answer18:

The quadrilateral ABCD is not a parallelogram

Answer19:

The quadrilateral ABCD is a parallelogram

Step-by-step explanation:

For question 18:

Given that vertices of a quadrilateral are A(-4,-1), B(-4,6), C(2,6) and D(2,-4)

The slope of a line is given m= $\frac{Y2-Y1}{X2-X1}$

Now,

The slope of a line AB:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{6-(-1)}{(-4)-(-4)}$

m= $\frac{7}{0}$

The slope is 90 degree

The slope of a line BC:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{6-6}{(-4)-(-1)}$

m= $\frac{0}{(-3)}$

The slope is zero degree

The slope of a line CD:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{(-4)-6}{2-2}$

m= $\frac{-10}{0}$

The slope is 90 degree

The slope of a line DA:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{(-1)-(-4)}{(-4)-(2)}$

m= $\frac{3}{-6}$

m= $\frac{-1}{2}$

The slope of the only line AB and CD are the same.

Thus, The quadrilateral ABCD is not a parallelogram

For question 19:

Given that vertices of a quadrilateral are A(-2,3), B(3,2), C(2,-1) and D(-3,0)

The slope of a line is given m= $\frac{Y2-Y1}{X2-X1}$

Now,

The slope of a line AB:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{2-3}{3-(-2)}$

m= $\frac{-1}{5}$

The slope of a line BC:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{(-1)-2}{2-3}$

m= $\frac{-3}{-1}$

m=3

The slope of a line CD:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{0-(-1)}{(-3)-2}$

m= $\frac{-1}{5}$

The slope of a line DA:

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{3-0}{(-2)-(-3)}$

m=3

The slope of the line AB and CD are the same

The slope of the line BC and DA are the same

Thus, The quadrilateral ABCD is a parallelogram

3 0

3 years ago

The expression 4x^2represents<br> (4)(x)(x)<br> (4x)(4x)<br> (4)(x)(2)

Daniel [21]

The expression 4x^2represents 4.x.x

5 0

3 years ago

A used motorcycle is on sale for $3,600. Erik makes an offer equal to 3/4 of this price. How much does Erik offer for the motorc

lesantik [10]

3/4 of 3600..." of " means multiply
3/4 * 3600 =
10800/4 =
2700 <==

4 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5

dedylja [7]

Answer:

4x - 5y + 30 = 0

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

$(y - y_1) = m (x - x_1)$

where $m$ is the slope of the line and

$(x_1, y_1)$ is the point passing through it.

Here $m = \frac{4}{5}$ and $(x_1 , y_1) = (-5,2)$ .

Substituting in the equation we get

$(y - 2) = \frac{4}{5} (x + 5)$

$\implies 5y - 10 = 4x + 20$

$\implies 4x - 5y + 30 = 0$

5 0

3 years ago

David wants to pack apples and bananas in his lunch. He has room for 16 fruit. He wants to pack three times as many apples as ba

S_A_V [24]

Answer:

David should pack 12 apples and 4 bananas

7 0

3 years ago