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notka56 [123]
3 years ago
14

Write the point-slope form of the line that passes through the origin and is parallel to a line with a slope of 2. Include all o

f your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Mathematics
2 answers:
erica [24]3 years ago
7 0

Answer:

y-0=2(x-0)

Step-by-step explanation:

The point-slope form is defined as

y-y_{1} =m(x-x_{1} )

Where (x_{1},y_{1}) is a point that the line intercepts and m is the slope.

So, in this case, the slope is 2, and the point is (0,0), because it passes through the origin.

Replacing all these values in the formula, we have

y-y_{1} =m(x-x_{1} )\\y-0=2(x-0)\\y=2x

Therefore, the line which the given characteristics is y=2x, and its slope-form is

y-0=2(x-0)

SVEN [57.7K]3 years ago
4 0
Y = 2x satisfies this set of regulations

Point slope form would be y - 0 = 2( x - 0 )
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Determine the slope of the line that has the following coordinates: (1, 4)(2, -6)
timama [110]

Answer:

-10

Step-by-step explanation:

First use this equation: (y2 - y1) / (x2 -x1)

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2 years ago
Write an equation of the line through each pair of points in slope-intercept form.
ASHA 777 [7]

Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-5 - 2) / (-4 - 3)

Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

7 0
3 years ago
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