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2 years ago

Which is the correct equation of the line for the following graph?

Mathematics

1 answer:

Wewaii [24]2 years ago

3 0

Answer:

Step-by-step explanation:

The equation can be written in slope-intercept form when we know the slope and the y-intercept.

<h3>Slope-intercept form</h3>

The slope-intercept form of the equation of a line is ...

y = mx +b . . . . . . where m is the slope and b is the y-intercept

<h3>Y-intercept</h3>

The y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...

y = 3x +6 . . . . . choice B
y = -3x +6 . . . . .choice C

<h3>Slope</h3>

The line goes down to the right. This is a negative slope, eliminating choice B.

The equation of the line is y = -3x +6.

<em>Additional comment</em>

The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...

m = rise/run = -6/2 = -3

Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is

y =-3x +6

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Graph 6x-2y=2 ,9x-3y=1

enot [183]

It's a linear function. We need only two points to draw a graph.

We choose any values of x and calculate the value of y.

$6x-2y=2\qquad|-6x\\\\-2y=-6x+2\qquad|:(-2)\\\\y=3x-1$

for x= 0 → y = 3(0) - 1 = 0 - 1 = -1 → (0, -1)

for x = 2 → y = 3(2) - 1 = 6 - 1 = 5 → (2, 5)

$9x-3y=1\qquad|-9x\\\\-3y=-9x+1\qquad|:(-3)\\\\t=3x-\dfrac{1}{3}$

for x = 0 → y = 3(0) - 1/3 = 0 - 1/3 = -1/3 → (0, -1/3)

for x = 2 → y = 3(2) - 1/3 = 6 - 1/3 = 5 2/3 → (2, 5 2/3)

4 0

3 years ago

It’s MATH who knows how to do this i’m down bad

AysviL [449]

Answer/Step-by-step explanation:

1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)

Collect like terms

7x - 5x = -2 + 22

2x = 20

2x/2 = 20/2

x = 10

2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)

Collect like terms

13x - 10x = 6 + 24

3x = 30

3x/3 = 30/3

x = 10

3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)

12x + 26 + 46 = 180

12x + 72 = 180

12x + 72 - 72 = 180 - 72

12x = 108

12x/12 = 108/12

x = 9

4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)

5x + 5 + 135 = 180

5x + 140 = 180

5x + 140 - 140 = 180 - 140

5x = 40

5x/5 = 40/5

x = 8

4 0

3 years ago

What are these slopes?

Nookie1986 [14]

Answer:

4. $\frac{-5}{1}$ or -5 (It's a negative slope)

5. 0 (It's a horizontal line)

6. $\frac{2}{3}$

Formula: $\frac{rise}{run}$

4 0

2 years ago

Give f(x) = 5x + 7, what is the value of f(12)?

icang [17]

Answer:

The 12th Term is 67.

7 0

3 years ago

Triangles angles from largest to smallest

Nonamiya [84]

Answer:

O is largest, C is medium, and T is smallest

Step-by-step explanation:

You need to pay close attention to the side length. The higher the length, the smaller the angle.

7 0

3 years ago