All categories

2 years ago

What is the slope of the line that passes through the points (2, 8) and (6, 12)?

Mathematics

2 answers:

Soloha48 [4]2 years ago

6 0

Hello!

Step-by-step explanation:

Slope: $\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}$

$\frac{12-8=4}{6-2=4}=\frac{4}{4}=1$

Slope is 1.

Answer is 1.

Hope this helps!

Thanks!

-Charlie

Have a great day!

bixtya [17]2 years ago

3 0

Hi there! Think of x as 2 and 6 and think of y as 8 and 12. 8-12/2-6=-4/-4. Now, -4/-4=1. Therefore, the answer is C. 1

You might be interested in

How to solve and write a linear equation ?

rjkz [21]

Answer:

Step-by-step explanation:

Identify the slope, m. calculate slope between two known points of the line using the slope formula.

Find the y-intercept. substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

7 0

3 years ago

Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

3 0

1 year ago

Solve each system by elemination, 4x+8y=20 and -4x+2y=-30

ludmilkaskok [199]

The sum of the left side of these two equations is equal to the same of the right side is these two equations
4x+8y + (-4x+2y) = 20 + 30
10y =50 ( x is eliminated)
y=5
Take this into the second equation
-4x +2y = 30
-4x + 2*5 = 30
x=-5

So x=-5
y=5

5 0

2 years ago

Determine if the following table represents a quadratic function.

snow_tiger [21]

Answer:

The options are not visible enough (See Explanation)

Step-by-step explanation:

Given

x:- 1 || 2 || 3 || 4 || 5

y:- 13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

$Difference = 22 - 13 = 9$

$Difference = 37 - 22 = 15$

$Difference = 58 - 37 = 21$

$Difference = 85 - 58 = 27$

The resulting difference are: 9 || 15 || 21 || 27

Next; Calculate the difference between the difference of values of y

$Difference = 15 - 9 = 6$

$Difference = 21 - 15 = 6$

$Difference = 27 - 21 = 6$

The resulting difference are: 6 || 6 || 6

For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.

7 0

3 years ago

supoose the slope of a line is positive. describe what happen to the graph of the line as you move from left to right

Alex Ar [27]

The value of y decreases.

6 0

2 years ago

Read 2 more answers