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adelina 88 [10]
3 years ago
7

Help please! I need answers quickly :((

Mathematics
2 answers:
Rzqust [24]3 years ago
5 0

Answer:

y = - \frac{1}{2} x + 2

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = - \frac{1}{2} x + 2 ← equation of line

Svetlanka [38]3 years ago
4 0

Answer:

x + 2y = 4

Step-by-step explanation:

The y intercept (where it crosses the y axis) is (0,2)

Another point on the line is (4,0)

We can find the slope from these two points

m = (y2-y1)/(x2-x1)

   = (0-2)/(4-0)

   =-2/4 = -1/2

We have the slope and the y intercept

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

y = -1/2x +2

We want the equation of the line in standard form

Ax +By =C

Add -1/2x to each side

1/2x +y =  -1/2x +1/2x +2

1/2x +y =   2

Multiply by 2 because we do not want fractions

2(1/2x +y) = 2* 2

x + 2y = 4

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