A few days ago
[I ♥ R.Hamilton]

In bad nees of Algebra Help?! pls!?

THESE ARE SOME OF THE QUESTINS I AM HAVING TROUBLY WITH.

1) Solve for Y

-6 (4/5)+5Y=4

2)

Write the equation of the line that passes through (-5,2) and is PERPENDICULAR to the line given by 6x+2y=4

3)Write the equation of the line that passes through (1,5) and is PARALLEL to the line that passes through (-2, 1) and (2, 4)

Thx!!! anything would be good!

Top 2 Answers
A few days ago
gervin_tan

Favorite Answer

(1) I agree with Ms. “beauty beyond description”

For numbers (2) and (3), you need the concept of slopes. Generally, the slope of parallel lines are equal, while the slope of perpendicular lines are negative reciprocals of each other. An easy way to check for parallel and perpendicular lines is to make the equation of the line in the form y=mx+b. The m, or the coefficient of x, is the slope of the line. The b is called the y-intercept.

(2)

6x+2y = 4

2y = -6x + 4

y =-3x + 2

Since the slope is -3, the slope of the perpendicular line must be 1/3. So the equation of the line is:

y= 1/3 x + b

Since (-5,2) is a point of the line, we get the value of b by plugging in -5 for x and 2 for y.

2 = 1/3 (-5) + b

2 = -5/3 + b

2 + 5/3 = b

6/3 + 5/3 = b

11/3 = b

Therefore, the equation of the line is:

y = 1/3x + 11/3

This can also be written as:

3y = x + 11

or

x – 3y + 11 = 0

(3)

The slope of a line can also be obtained by using “rise over run”, or by getting the difference of the y’s over the difference of the x’s using any two points of the line. The formula looks like:

(Y2 – Y1) / (X2 – X1) given the points (X1, Y1) and (X2, Y2)

So the slope is

= ( 4 – 1) / ( 2 – (-2) )

= 3 / 4

Again, we use the format above and get the equation of the line to be:

y = 3/4 x + b

Again, we plug in values from the given point (1,5)

5 = 3/4 (1) + b

5 = 3/4 +b

5 – 3/4 = b

20/4 – 3/4 = b

17/4 = b

So, the equation of the line is:

y = 3/4 x + 17/4

or

4y = 3x + 17

or

3x – 4y + 17 = 0

Hope this helps.

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A few days ago
beauty beyond description
am sry but i only kno the answer to 1 i hope it helps a little

-6(4/5)+5y=4

-4.8+5y=4

5y=8.8

y=1.76

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