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Cloud [144]
2 years ago
5

Line where the slope is -2 y intercept is 1

Mathematics
2 answers:
fgiga [73]2 years ago
8 0

We've been given to find out the equation of a line who has its slope (m) = -2 and a Y-intercept = 1. So here we have basically two things i.e,

  • Slope (m) = -2

  • Y-intercept (c) = 1

First of all we must know the unique form of equation of line which is y = mx + c which is only applicable for those who have slope and y-intercept defined in it.

Placing respective values,

:\implies\rm{y = mx + c}

:\implies\rm{y =  - 2x + 1}

  • The equation of line is y = -2x + 1

<h2 /><h2>ADDITIONAL INFORMATION: </h2>

1) Slope point form equation: If a line passes through point (x,y) and slope (m) then equation of line is given by,

:\implies\rm{ y - y_1 = m(x - x_1)}

2) Two point form equation: If a line passes through two distinct points A(x1,y1) and B(x2,y2) then equation of line is given by,

:\implies\rm{ \frac{y - y_1}{y_1 - y_2}  =  \frac{x - x_1}{x_1 - x_2} }

3) Double intercept form: If x & y intercepts of line are small 'a' and 'b' then equation of line is given by,

:\implies\rm{ \frac{x}{a}  +  \frac{y}{b}  = 1}

ludmilkaskok [199]2 years ago
6 0

Answer:

Step-by-step explanation:

y = mx +b

Here m is slope and b is y-intercept

y = -2x + 1

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Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

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The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

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From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

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2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

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w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

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2. The fourth one is false because two figures/objects are congruent if they have the same shape and size. Since translation only affects the location on a coordinate plane, the original and final figure are congruent.

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