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just olya [345]
3 years ago
11

find the equation of the line that passes through (2,-1) and is parallel to 2x+y-4=0. leave your answer in the form y=mx+c

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y - 4 = 0 ( subtract 2x - 4 from both sides )

y = - 2x + 4 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes , thus

y = - 2x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 4 + c ⇒ c = - 1 + 4 = 3

y = - 2x + 3 ← equation of parallel line

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frutty [35]

Answer:

y = (x - 4)^2 + 5.89

Step-by-step explanation:

The x-coordinate of the vertex is 4, and x = 4 is the axis of symmetry.  

The general vertex equation of a parabola is

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We know that this parabola passes through the point (7.3, 5), and so we can substitute 7.3 for x and 5 for y in the above equation, obtaining:

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6 0
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