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jolli1 [7]
8 months ago
13

What is the slope of a line that is parallel to –x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragm

ent, 3, 6
Mathematics
1 answer:
algol138 months ago
5 0

The slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

It is given that:

The equation of the line:

–x + 3y = 6

Write the equation in standard form:

y = x/3 + 6/3

y = x/3 + 2

m = 1/3

The slope of the line parallel to the line  –x + 3y = 6

M = 1/3

Thus, the slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

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What is the equation of the following line written in general form? (The y-intercept is 7.)
Viktor [21]

Answer:

<h2>3x - y + 7 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the given y-intercept b = 7 and the coordinates of the point (-2, 1) to the equation:

1=-2m+7          <em>subtract 7 from both sides</em>

-6=-2m       <em>divide both sides by (-2)</em>

3=m\to m=3

We have the equation:

y=3x+7

Convert it to the general form Ax+By+C=0:

y=3x+7              <em>subtract 3x and 7 from both sides</em>

-3x+y-7=0           <em>change the signs</em>

3x-y+7=0

4 0
3 years ago
A vessel has 4 liters and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?
dalvyx [7]

Step-by-step explanation:

easy to look up : mili stands for 1/1000

so,

500 ml are 500/1000 liters.

25 ml are 25/1000 liters (a tiny glass).

and 1 Iiter is of course, 1000/1000 liters (1000 ml).

4 liters 500 ml are then

4×1000/1000 + 500/1000 = 4500/1000 l = 4500 ml.

how many glasses of 25 ml can be filled with that ?

this is the same question as into how many parts of 25 can 4500 be split ? or, how often does 25 fit into 4500 ?

all this is done by division :

4500 / 25 = 180

so, 180 of such glasses can be filled.

7 0
2 years ago
Solve the equation <br> 13(x + 1) + 2x = 2
Goryan [66]
13x + 13 + 2x = 2
15x + 13 = 2
15x = -11
4 0
2 years ago
Read 2 more answers
Please help Evaluate this equation!!
lozanna [386]

Answer:

1.)-8

2.)-5

3.)4

Step-by-step explanation:

So, the function f(x)=3x-5

The questions say "If you were to substitute these numbers what answer would you get?"

Understanding this,

First question is with x=-1

f(-1)=3(-1)-5

f(-1)=-3-5=-8

_____________________________________

f(0)=3(0)-5

f(0)=0-5=-5

_____________________________________

f(3)=3(3)-5

f(3)=9-5=4

6 0
2 years ago
What is the value of x
VLD [36.1K]

Answer:

value of x = 8

Step-by-step explanation:

if the given lines are parallel, then the shown pair of angles are corresponding angles,

and we know that the the pair of corresponding angles are equal so,

=》16x - 8 = 120

=》16x = 128

=》x = 128 ÷ 16

=》x = 8

6 0
2 years ago
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