50.3k views
1 vote
Write the equation of a line in point-slope form that is parallel to the line y=2x-5 and goes through the point (-1,4)

2 Answers

4 votes

Answer: y - 4 = 2(x + 1)

Explanation:

The point slope form formula says that y - b = m(x-a) where m is the slope,b is the y coordinate of a given point , and a is the x coordinate of the same point.

Remember that parallel lines have the same slopes but different y-intercepts, meaning that m will equal to 2 because the slope for the line y=2x-5 is 2.

m will be 2, b will be 4 , and a will be -1.

y - 4 = 2(x - (-1) which reduces to

y - 4 = 2(x + 1)

User Zagyi
by
7.9k points
7 votes

(y-4) = 2(X+1)

Explanation:

Hey there!

The given eqaution is; y = 2x-5.......(i)

Now; As the eqaution is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the eqaution of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write upto here. But it you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Hope it helps.....

User SASM
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories