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Ilya [14]
3 years ago
8

Find the slope and y-intercept of the line that is parallel to y=-x-3and passes through the point (3,-2)

Mathematics
1 answer:
Harman [31]3 years ago
8 0
See a solution process below:
Explanation:
The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b

Where
m
is the slope and
b
is the y-intercept value.
y
=
−
1
x
+
3

Therefore, the slope of this line is:
−
1

The slope of parallel lines. Therefore, the slope of the line we are looking for is also
−
1
. We can substitute this into the slope-intercept formula giving:
y
=
−
1
x
b

Next, we can substitute the values from the point in the problem for
x
and
y
and solve for
b
:
5
=
(
−
1
⋅
3
)
+
b

5
=
−
3
+
b

3
+
5
=
3
−
3
+
b

8
=
0
+
b

8
=
b

Now, we can also substitute this into the formula to complete the equation:
y
=
−
1
x
+
8
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4 years ago
Simplify the following expression.<br> 2x^5+ 3x^3 - 5x^2 + x^2 +7x+1+7x^5 - 3x^3 - 4
Juli2301 [7.4K]
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8 0
3 years ago
Check each equation whose graph is the line that
yanalaym [24]

Answer:

Points P ( 4 , - 7 ) and  Q ( 1 , 5 ) belong to the equations:

1  ;  4  ;  and  5

Step-by-step explanation:

Equations 1 ; 4 and 5 are the same equation

Equation 1    y  =  - 4*x + 9

Equation 4

y + 7 = - 4 * ( x - 4 )   ⇒  y + 7  = - 4*x + 16   ⇒ y = - 4*x - 7 + 16

y = -4*x + 9

Equation 5

4*x + y = 9    ⇒ y = - 4*x + 9

Now for the equation y = - 4*x + 9

P ( 4 , -7)

For x = 4    y = - 4*(4) + 9     ⇒  y = - 16 +  9    ⇒  y = - 7

Then point P is in the line  y = - 4*x + 9

Point Q (1 , 5 )

For x = 1    y = - 4 * ( 1) + 9     ⇒  y = - 4 + 9    ⇒  y = 5

Point Q is in the line y = - 4*x + 9

Equation 2

y = - 4*x - 23

Point P ( 4 , - 7 )

For x = 4       y  = 16 - 23   y  = - 7

Point P is in the line

Point Q

For x = 1     y = - 4 *(1) - 23      ⇒   y = - 27

Then poin Q is not in the line

Equation 3

y - 1 = - 4 * ( x - 4 )

y  - 1 =  -4*x + 16    ⇒   y  = - 4*x + 17

Point P ( 4 , - 7 )

For x = 4

y = - 16 + 17   ⇒ y = 1    

Point P is not in the line

And Point Q ( 1 , 5 )

For  x = 1

y = - 4* ( 1 ) + 17    ⇒  y  = 13    Q is not in the line

3 0
3 years ago
The chef at a restaurant bought 37 pounds of salad for $46.25. How much did she pay for 1 pound of salad? Show all work and expl
Art [367]

Answer:

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Step-by-step explanation:

$46.25 : 37 = $1,25

I divided the amount of money into the number of 37 pounds

3 0
3 years ago
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Nady [450]

Answer:

4

Step-by-step explanation:

4 0
3 years ago
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