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Rudik [331]
3 years ago
8

How can you find the slope of a line and use it to solve problems?

Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

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10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the b
alexdok [17]

Answer:

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = m*x + b   or  y=m*x + b

where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.

The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis.  According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.

You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

5 0
3 years ago
The reactants of two reactions are shown.
katovenus [111]

Answer:

The answer to your question is letter B.

Step-by-step explanation:

The correct answer is letter B because both Copper and Iron as reactants have an oxidation number of zero and when they have reacted their oxidation numbers would be different from those.

A redox reaction is a reaction that involves a transfer of electrons from one atom to another and the oxidation numbers of the reactants are different from the oxidation numbers from the products.

4 0
3 years ago
1)The price of a sweater was slashed from #960 to $816 by a shopkeeper in the winter season. Find the rate of discount given by
Annette [7]

Answer:

The discount% is 15%

Step-by-step explanation:

Given : The price of a sweater was slashed from Rs 960 to Rs 816 by a shopkeeper in the winter season.

To find : The rate of discount given by him?

Solution :

According to question,

The market price of the sweater is Rs.960

The selling price of the sweater is Rs.816

The discount on the sweater is given bY

Discount % is given by

Therefore, The discount% is 15%.

8 0
3 years ago
What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

5 0
3 years ago
One leg of a triangle has a measure of 24 units if the hypotenuse measures 25 units what is the lengh of the other leg
marusya05 [52]
If we assume this is a right triangle

 for a right triangle
if it has legs length a and b and hyptonouse c then
a²+b²=c²

given
a leg is 24
hyptonuse =25
the other leg is b

24²+b²=25²
576+b²=625
minus 576 from both sides
b²=49
sqrt both sides
b=7

the other leg is 7 units
5 0
4 years ago
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