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2 years ago

Complete the equation of the line through (2,1) and (5,-8)

Mathematics

1 answer:

Mila [183]2 years ago

7 0

First we calculate the slope (which is called "m".

Slope = m = (Y2 -Y1) ÷ (X2 -X1)

m = (-8 -1) / (5 -2) = -9 / 3 = -3

We next fill in this equation: b = y -mx

We know m = -3 and we can choose a point (2, 1) to calculate "b"

b = 1 --3 * 2 b = 7

Putting this into y = mx +b

y = -3x +7

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Simplify (3m²n4)3 O 9m5 n? O 9m6n12 O 27mn12 O 27mn?

Lana71 [14]

Answer:

(3m2n4)^3

Step-by-step explanation:

This deals with raising to a power.

(3m2 • (n4))3

m2 raised to the 3 rd power = m( 2 * 3 ) = m6

n4 raised to the 3 rd power = n( 4 * 3 ) = n12

7 0

2 years ago

Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\

Liono4ka [1.6K]

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

$\frac{3}{4} + m = \frac{5}{4}$

Subtract-3/4 from both sides

$\frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4}$

Simplify

$m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2}$

7 0

3 years ago

What is the simplified form of expression 6(4x-7)

KonstantinChe [14]

24x-36 . because you distribute the six to simplify your answer.

7 0

2 years ago

Read 2 more answers

On a coordinate grid, AB has an end point B at (24, 16). The midpoint of AB is P(4, -3). What is the y-coordinate of Point A?

inysia [295]

The y-coordinate of point A is -22

Step-by-step explanation:

Given

B = (24,16)

P = (4,-3)

The formula for mid-point of AB will be given by:

$P = (\frac{x_A+x_B}{2} , \frac{y_A+y_B}{2})$

As we already know the y-coordinate of midpoint

We can put the formula's y coordinate equal to the given value

$\frac{y_A+y_B}{2} = -3\\\frac{y_A + 16}{2 } = -3\\y_A+16 = -3 * 2\\y_A +16 = -6\\y_A = -6-16\\y_A = -22$

Hence,

The y-coordinate of point A is -22

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

#LearnwithBrainly

7 0

2 years ago

PLEASE HELP! Solve the system of equations by graphing on your own paper. What is the x-coordinate of the solution?

raketka [301]

Answer:

x = 4

Step-by-step explanation:

steps are in the pic above.

5 0

2 years ago