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vovangra [49]
3 years ago
11

What is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Answer:

y=-5x-21

Step-by-step explanation:

So the slope will be the same, rewrite the equation with the same slope and substitute in the coordinates. Then, solve for b.

y=mx+b

-1=-5(-4)+b

-1=20+b Subtract 20 from each side

-21=b

The equation is y=-5x-21

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Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12? A. (1, 2) B. (3, 1) C. (3, 2) D. (-3, -2) E. (3,
Sindrei [870]

Answer:

(3,2)  Choice C

Step-by-step explanation:

x-2y = -1

2x+3y =12

multiply the first equation by -2

-2x +4y = 2

add the 2 equations together

2x+3y =12

-2x +4y = 2

-----------------

7y         =14

divide by 7

y =2

x-2y = -1

x -2(2) = -1

x-4 = -1

add 4 to each side

x = 3

(3,2)

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3 years ago
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IgorLugansk [536]
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labwork [276]
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3 years ago
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Help PLZ i’m just trying to finish this without getting any wrong
otez555 [7]

Answer:

The arrangement of the given equation in the slope - intercept form are

1. y = 1x +82  

Step-by-step explanation:

Given:

Let  A ≡ ( x1 , y1 )   ≡ (-12 , 70)

       B ≡ ( x2 , y2 ) ≡ (-4 , 78)

Slope - intercept form :

y=mx+c

Where,

m is the slope of the line.

c is the y-intercept.

When two points are given say ( x1 , y1 )  and ( x2 , y2)  we can remove slope by  

Slope,

m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}

∴ m =\frac{78-70}{-4--12}\\m =\frac{8}{-4+12}\\m =\frac{8}{8}\\ m= 1

Now equation of a line  for a point ( x1 , y1 )  and having slope m is given as,

(y-y_{1})=m(x- x_{1})\\ \textrm{substituting ( x1 , y1 ) and m we get}\\y-70=1(x-(-12))\\y= x+12+70\\y=x+82

Which is in the required form

y = 1x + 82

Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.

3 0
4 years ago
A little help please!
Katen [24]

Answer:

r = 45 degrees, and s= 60 degrees

Step-by-step explanation:

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