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andrew-mc [135]
3 years ago
13

Write the point-slope form of the equation of the line that passes through the point (1, 3) and has a slope of 2. Include your w

ork in your final answer.
Mathematics
2 answers:
melomori [17]3 years ago
4 0
Plug in slope and the points in y-y1=m(x-x1)
y-3=2(x-1) 
Tju [1.3M]3 years ago
4 0
(y-4) = 7x - 21
y-7x = -21 + 4
y-7x = -17
<span>7x-y-17 = 0 is the equation.

I'm not sure if this is totally correct. </span>
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I would think 14 bc 8 units is smaller and 22 and 36 are two big
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Select the relationship that does represent a function.
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Step-by-step explanation:

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Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : R_{90} (x,y)=(-y,x)

5. Rotation of 180° : R_{180} (x,y)=(-x,-y).

6. Rotation of 270° : R_{180} (x,y)=(y,-x).

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is R_{90} (x,y)=(-y,x).

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is R_{180} (x,y)=(-x,-y).

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is R_{180} (x,y)=(y,-x).

5 0
3 years ago
Determine the equation of the line that goes through points (1.1) and (3.7).
ValentinkaMS [17]

Answer:

The equation of the line that goes through points (1,1) and (3,7) is \mathbf{y=3x-2}

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form y=mx+b where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=1, y_1=1, x_2=3, y_2=7

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

y=mx+b\\y=3x-2

The equation of the line that goes through points (1,1) and (3,7) is \mathbf{y=3x-2}

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3 years ago
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Vlad [161]

Answer:

20/9 or 2 2/9 or 2.2 repeating

Step-by-step explanation:

7 0
2 years ago
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