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netineya [11]
1 year ago
15

Write the equation of a line that is parallel to y=1/2x+4 and goes thru the point(-3,4)

Mathematics
1 answer:
fgiga [73]1 year ago
5 0

The standard form equation for a line passing through the point (-3, 4) and parallel to the line denoted by y = 1/2x+4 is 2y - x = 11.

The standard form equation

ax + by = c

Here a, b, and c are constants and therefore use the slope-intercept form.

y = mx + c ...... (1)

where m is the slope, b = y-intercept

y = 1/2x + 4

Slope (m) = 1/2

It passes through a line that has points (-3,4)

Let's find c by putting the value of x = -3 and y = 4 in equation (1).

4 = 1/2 (-3) + c

4 = -3/2 + c

c = 4 + 3/2

=> c = (8+3)/2

=> c = 11/2

Therefore,

y = 1/2x + 11/2

y = (x+11)/2

=> 2y - x = 11

2y - x = 11 is the standard form of the line that passes through (-3,4) and is parallel to the line represented by y = 1/2x+4.

To learn more about the line visit: brainly.com/question/17188072

#SPJ1

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<em>Answer: h = 120 ft;    w = 80 ft </em>

<em></em>

<em>A = 9600 ft^2</em>

<em />

<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>

<em></em>

<em>A = h*w   (eq1)</em>

<em></em>

<em>The total amount of fence used is:</em>

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<em>Solving for w:</em>

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<em>w = L - 2/3*h = 480 - 2/3*h   (eq3)  Replacing this into the area eq:</em>

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<em>We derive this and equal zero to find its maximum:</em>

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<em>   Solving for h:</em>

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<em>h = 120 ft.  Replacing this into eq3:</em>

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<em>w = 80ft</em>

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<em>Therefore the maximum area is:</em>

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<em>A = 9600 ft^2</em>

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