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3 years ago

Which equation could have been used to create this table?

Mathematics

2 answers:

Sophie [7]3 years ago

3 0

Answer:

y = 2x because they all have the same pattern of y = 2x

klio [65]3 years ago

3 0

Answer:

y=2x

Step-by-step explanation:

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

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

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

I need some help please

gizmo_the_mogwai [7]

Answer:

a) -10

b) 7

Step-by-step explanation:

a) $2(x + 3) = x - 4$

$= > 2x + 6 = x - 4$

$= > 2x - x = - 4 - 6$

$= > x = - 10$

b) $4(5x - 2) = 2(9x + 3)$

$= > 20x -8 = 18x + 6$

$= > 20x - 18x = 8 + 6$

$= > 2x = 14$

$= > x = \frac{14}{2} = 7$

3 0

3 years ago

Read 2 more answers

Three coins are flipped,what is the Probability of getting one HEAD and two TAILs?

san4es73 [151]

The probability of getting at most 2 tails is 7/8

7 0

3 years ago

Prove that the sets [0,1] [0,1) are equinumerous

expeople1 [14]

You are rigth because it just said that it is

5 0

3 years ago

The bill for lunch was 24.50 mr smith add a 20% tip how much did mr smith pay

miss Akunina [59]

Answer:

Mr.Smith paid $29.4.

Step-by-step explanation:

Mr.Smith paid $24.5 plus additional 20% of $24.5, and to figure out the total amount that he paid, we need to know what is 20% of $24.50.

20% of $24.50 is:

$\frac{20}{100}*24.5=0.2*24.6=4.9$ .

Mr.Smith paid additional $4.9; therefore, the total amount he paid was

$24.5 + $4.9 = $29.4.

Mr. smith paid $29.4.

4 0

3 years ago