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Rufina [12.5K]
1 year ago
14

How do you find out if a like is parallel, perpendicular, or coincidental when theres 2 equations

Mathematics
1 answer:
finlep [7]1 year ago
8 0

The slope intercept form of the equation of a line is given as:

y = mx + c

where m = the slope of the line

c = the y - intercept of the line

1) Two line are parallel if they have the same slope

That is:

\begin{gathered} \text{If the equation for line 1 is: y = m}_1x+c_1 \\ \text{If the equation for line 2 is:  y = m}_2x+c_2 \\ \text{Then, line 1 is parallel to line 2 if m}_1=m_2 \end{gathered}

2) Two equations are perpendicular if the slope of one is the negative inverse of the other.

\text{That is : m}_1=\text{ }\frac{-1}{m_2}

3) Two equations are coincidental if they have the same slope and the same y intercept

\begin{gathered} \text{That is: m}_1=m_2_{} \\ \text{and c}_1=c_2 \end{gathered}

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What equation is graphed in this figure?
topjm [15]

Answer:

The third equation: y+2=-3(x-1)

Step-by-step explanation:

The two points on the line are (-1,4) and (1,-2).

Slope of the line passing through two points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

m=(y_{2} -y_{1})/ (x_{2} -x_{1})

Here, (x_{1},y_{1}) and (x_{2},y_{2}) are (-1,4) and (1,-2).

Therefore, slope is equal to, m=(-2-4 )/ (1-(-1)

                                               m=-6/2

                                               m=-3  

Now, equation of a straight line with slope m and points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

y-y_{1}=m(x-x_{1})\\y-y_{2}=m(x-x_{2})

Now, if we use the 2nd form, then x_{2}=1,y_{2}=-2.

So, the equation is given as :

y-(-2)=-3(x-1)\\y+2=-3(x-1)

                                                 

8 0
3 years ago
Help, please the question and thank you
Law Incorporation [45]

Answer:

The scale factor is 1.5.

Step-by-step explanation:

Divide the length of the image, 12, by the length of the preimage, 8, which will give you 1.5

12 ÷ 8 = 1.5

Therefore, the scale factor of the image is 1.5.

3 0
3 years ago
Plzzzz help!! Me find x
vivado [14]

Answer:

x=-4

Step-by-step explanation:

These two angles have to equal 180 because they are opposite of each other. Therefore, the equation will be 129+x+x+59=180. You add all common terms. 2x+188=180. You want to isolate x so you have to subtract both sides by 188. Therefore, the equation will be 2x=-8. Divide both sides by 2 to isolate x. x=-8/2. This is equal to x=-4.

If this has helped please mark as brainliest

3 0
3 years ago
Answer to 3+2+(5-1)+5=
otez555 [7]

Answer:

14

Step-by-step explanation:

3 + 2 + (5 - 1) + 5

Always solve the ones inside the parentheses first.

3 + 2 + (4) + 5

5 + 4 + 5

9 + 5

= 14

5 0
3 years ago
Ms. Ramirez earns 250 each week plus 7% of any amount she sells. she earned 845 last week. How much did she sell ?
prohojiy [21]

Answer:

8500

Step-by-step explanation:

That's my answer and thats correct brainliest me please trust me

5 0
2 years ago
Read 2 more answers
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