What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y - 1 = 0?

Answers

Answer 1

Answer:

Answer: The required equation of the line is $4x+y=6.$

Step-by-step explanation: We are given to find the equation of the line that passes through (1, 2) and is parallel to the line whose equation is as follows:

$4x+y-1=0~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The slope-intercept form of the given line (i) is

$4x+y-1=0\n\n\Rightarrow 4x+y=1\n\n\Rightarrow y=-4x+1,$

where, slope of the line is, m = - 4.

Since parallel lines have equal slopes, so the slope of the new line that passes through the point (1, 2) is

m = - 4.

Therefore, the equation of the line will be

$y-2=m(x-1)\n\n\Rightarrow y-2=-4(x-1)\n\n\Rightarrow y-2=-4x+4\n\n\Rightarrow 4x+y=6.$

Thus, the required equation of the line is $4x+y=6.$

Answer 2

Answer: y=-4x+6
or if you need it in the original format
4x+y-6=0

Related Questions

Consider circle H with a 3 centimeter radius. If the length of minor arc RS is 5/2π, what is the measure of ∠RST? Assume that chords RS and TS are congruent.
An air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute. Select all that apply to this situation. The slope is 1000 ft per minute. The balloon is falling at 1000 ft per minute. The y-intercept is 50 ft. The balloon falls at a rate of 50 ft per minute. The y-intercept is 1000 ft. The balloon begins to from an initial height of 1000 ft. The slope is -50 ft per minute. The balloon is falling at 50 ft per minute. It will take the balloon 20 minutes to reach the ground.
Tom gets $12 off a box of chocolates that had an original priceof $48. What percentage is the discount?
Which sequence is geometric and has 14 as its fifth term and 12 as the common ratio?
The pay-scale for Pedro's stores is based on the education level of his employees. The education levels are shown for the employees at his two stores. Which matrix correctly displays the total number of employees for the two stores based on their education levels?

Julia is saving money for the down payment on a car. She plans to save for one year. Her parents have offered to contribute $50 a month to her savings. How much does Julia need to save each month in addition to her parents' contribution if she wants to have a $2700 down payment on a car at the end of the year? Define a variable and write an equation to represent this situation.

Answers

Answer:

$12x+600=2700$

$175

Step-by-step explanation:

Let x represent money saved by her in one month.

So money saved by her in one year (12 months) would be $12x$ .

We can represent our given information as:

$12x+600=2700\n12x=2700-600\n12x=2100\nx=(2100)/(12)\nx=175$

Therefore, she needs to save $175 per month.

Solve the inequality. Enter the answer as an inequality that shows the value of the variable; for example f > 7, or 6 < w. Where necessary, use <= to write and use >= to write .y - 10 14

Answers

I hope I"m doing this right, If it's not lwhat you have learned ignore it.

Simplifying Y + -10 = 14 Reorder the terms: -10 + Y = 14 Solving -10 + Y = 14 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + Y = 14 + 10 Combine like terms: -10 + 10 = 0 0 + Y = 14 + 10 Y = 14 + 10 Combine like terms: 14 + 10 = 24 Y = 24 Simplifying Y = 24

What is the slope of the line that contains the points (3, 4) and (1, 2)? A. 1 B. –1 C. D.

Answers

if you have your points (3,4) (1,2) x=3 and 1 and y=4 and 2 so find a point on the x or y line and go up and over till your line crosses another point and that will give you your slope

Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem
B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.
C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.
D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.

Answers

Answer:

Step-by-step explanation:

CAN SOMEONE PLEASE HELP I AM ALSO BEGGING! Probability theory predicts that there is a 76% chance of a water polo team winning any particular match. If the water polo team playing two matches is simulated 10,000 times, in about how many of the simulations would you expect them to win exactly one match?

Answers

In each of the two match simulations, the order in which one match is won and one match is lost does not matter. The probability of winning any particular match is 0.76 and the probability of losing any particular match is 1.00 - 0.76 = 0.24.
In each simulation the probability of winning exactly one match is:
$P(win\ exactly\ one)=2C1*0.76*0.24=0.3648$
Therefore in 10,000 simulations the expected number of times that exactly one match is won = 10,000 * 0.3648 = 3648 times.

Answer:

3648

Step-by-step explanation:

One term of (x+y)^m is 31,824x^18y^11
What is the value of m ?