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blsea [12.9K]
2 years ago
11

A coordinate plane with a line passing through points (1, 2) and (4, 4)

Mathematics
2 answers:
Kobotan [32]2 years ago
8 0

A straight line is represented by a linear equation given below.

The points are given as (1, 2) and (4, 4).

Start by calculating the slope (m)

m=\frac{y_2-y_1}{x_2-x_1}

So, we have

m=\frac{4-2}{4-1} \\m=\frac{2}{3}

<h3>What is the slope-intercept form of the line?</h3>

The equation in slope-intercept form is then calculated as:

y=m(x-x_1)+y_1

So, we have:

y=\frac{2}{3}(x-1)+2\\ \\y=\frac{2}{3}(x-4)+4\\

Expand

y=\frac{2}{3}(x-1)+2\\ y=\frac{2}{3} x-\frac{2}{3}+2

Take LCM

y=2/3x+4/3

Multiply through by 3

3y=2x+4

So, the possible equations are:

.3y=2x+4\\y=\frac{2}{3}x+\frac{4}{3} \\y=\frac{2}{3}(x-1)+2\\y=\frac{2}{3}(x-4)+{4}

To learn more about linear equations visit:

brainly.com/question/11897796

#SPJ1

Kitty [74]2 years ago
4 0

Answer:

B

C

E

Step-by-step explanation:

other dudes are  wrong

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How to simplify 4x^-3<br><br><br><br> Is the answer 1/4a^3 ?
Rudik [331]
The exponent only applies to the x not the 4
so only the x has permission to move to the denominator
this leaves you with 4/x^3
4 0
3 years ago
92​% of what number is 253​?
Romashka-Z-Leto [24]
Let, the number = x
Then, x * 92% = 253
x = 253 / 0.92   [ 92% = 0.92 ]
x = 275

In short, Your Answer would be 275

Hope this helps!
3 0
3 years ago
A) What is the equation of the line that passes through the given pair points in slope-intercept form?
lesya [120]

A)

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 5.1) and (-1, -0.5). Substitute:

m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}

Therefore we have:

y=\dfrac{28}{15}x+b

Put the coordinates of the point (-1, -0.5) ot the equation:

-0.5=\dfrac{28}{15}(-1)+b

-0.5=-\dfrac{28}{15}+b     <em>multiply both sides by 2</em>

-1=-\dfrac{56}{15}+2b       <em>add \dfrac{56}{15} to both sides</em>

\dfrac{41}{15}=2b            <em>divide both sides by 2</em>

b=\dfrac{41}{30}

Answer: \boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}

-------------------------------------------------------------------------

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}

Therefore we have:

y=-\dfrac{7}{5}x+b

Put the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{7}{5}(-2)+b

\dfrac{15}{5}=\dfrac{14}{5}+b              <em>subtract \dfrac{14}{5} from both sides</em>

\dfrac{1}{5}=b\to b=\dfrac{1}{5}

Answer: \boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}

7 0
4 years ago
On a social studies test, James scored a 2025, Jules earned an 81%, and Scott scored a 0.815. Who earned the highest grade? Just
Airida [17]

Answer:

Scott

Step-by-step explanation:

20/25=.8     .8=80%

.815*100=81.5%

81%

After finding a decimal and multiplying by 100, you get the percent so you can compare. 81.5% is the highest, so Scott had the highest score.

Hope this helps. Please put brainliest if you can!

7 0
3 years ago
A museum sells postcards of famous paintings. The postcards must be the same shape as the painting.
denis-greek [22]
C is the correct shape.

Explanation:

The ratio of the sides must be the same for the postcard and the painting. The painting has a ratio of 30.25 to 25.25. If you simplify this and divide both sides by 5, you get 6.05 to 5.05, which matches C.

Hope that helps!

-Grace
3 0
3 years ago
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