All categories

2 years ago

Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?

Mathematics

1 answer:

Murrr4er [49]2 years ago

7 0

Answer:

y = x + 2

Step-by-step explanation:

The slope-intercept equation is:

y = mx + b

First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:

Point 1: (1,3) Point 2: (2,4)

y₁ - y₂ = m(x₁ - x₂) <--- Point-slope formula

(3 - 4) = m(1 - 2) <--- Plug in "x" and "y" values from points

-1 = -m <--- Simplify inside parentheses

1 = m <--- Divide both sides by -1

Finally, use one of the points to solve for the y-intercept (b):

Point 1: (1,3) m = 1

y = mx + b <--- Slope-intercept formula

3 = 1(1) + b <--- Plug in values from point and slope (m)

3 = 1 + b <--- Multiply slope and "x" value

2 = b <--- Subtract 1 from both sides

Since the slope = 1, it does not need to be included in the final formula. The final answer is:

y = x + 2

You might be interested in

In the diagram, the distance from A to B is 4 inches. Find the actual distance if the scale is 1 in:6 mi

aksik [14]

1 inch = 6 miles
4 inches = ? miles

1 = 6
2 = 12
3 = 18
4 = ?

6 0

4 years ago

Explain why percents are rational numbers.

levacccp [35]

<span>Yes since percents can be decimals and these decimals can be illustrated as fractions hence, vice-versa.

80%= 0.8 = 4/5

A rational number is any number or numerical value which can be possibly stated in a fraction form of numbers, it basically has a numerator and denominator. Furthermore, the values of the numerator and denominator is integers and doesn’t equal to 0. In this given case of 8 over 5 or 8/5 this fractional number can still be expressed in a standard numerical form with a decimal as 1.6 without repeating decimal values. Unlike irrational numbers which is not possible, take for instance 3.1416… and so on which cannot be “fractionized”.<span>
</span></span>

3 0

3 years ago

What’s the answer to this help

Y_Kistochka [10]

You can buy 25 cans of oil
23/.92=25

3 0

4 years ago

Read 2 more answers

The acceleration of an object (in m/s^2) is given by the function a(t) = 9 sin(t). The initial velocity of the object is v(0) =

pentagon [3]

a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

so that

$v(t)=\left(-11\frac{\rm m}{\rm s}\right)+\int_0^t9\sin u\,\mathrm du$

$\boxed{v(t)=-\left(2+9\cos t)\right)\frac{\rm m}{\rm s}}$

b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is $s(0)=0\,\mathrm m$ . Then its displacement over the time interval [0, 3] is

$s(0)+\displaystyle\int_0^3v(t)\,\mathrm dt=-\int_0^3(2+9\cos t)\,\mathrm dt=\boxed{-6-9\sin3}$

c) The total distance traveled is the integral of the absolute value of the velocity function:

$s(0)+\displaystyle\int_0^3|v(t)|\,\mathrm dt$

$v(t)$ for $0\le t$ and $v(t)\ge0$ for $\cos^{-1}\left(-\frac29\right)\le t\le3$ , so we split the integral into two as

$\displaystyle\int_0^{\cos^{-1}\left(-\frac29\right)}-v(t)\,\mathrm dt+\int_{\cos^{-1}\left(-\frac29\right)}^3v(t)\,\mathrm dt$

$=\displaystyle\int_0^{\cos^{-1}\left(-\frac29\right)}(2+9\cos t)\,\mathrm dt-\int_{\cos^{-1}\left(-\frac29\right)}^3(2+9\cos t)\,\mathrm dt$

$\displaystyle=\boxed{2\sqrt{77}-6+4\cos^{-1}\left(-\frac29\right)-9\sin3}$

4 0

3 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth.

GalinKa [24]

The answer is 1474ft

6 0

3 years ago

Read 2 more answers

Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?​

Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?