Question

1. Write the equation of the line parallel to the line 10x - 5y = 8 and passing through the point (2,4).
2. Write the equation of the line parallel to the line 4x + 2y = 5 and passing through the point (-3,5).
3. Write the equation of the line parallel to the line 4x + y = -1 and passing through the point (5,0).
4. Write the equation of the line perpendicular to the line x - 5y = -10 and passing through the point (2,5).
5. Write the equation of the line perpendicular to the line x - 3y = 9 and passing through the point (3,5).

a. y = -5x + 15
b. y = 2x
c. y = -3x + 14
d. y = -2x

Answer 1

this is matching top with bottom

Answer 2

1. 10x - 5y = 8
-5y = -10x + 8
y = (-10x + 8) / -5
y = 2x - 8/5
The slope of this equation is 2. A parallel line will have the same slope...2
Now use the point slope formula: y - y1 = m(x - x1)
with m = 2, and (2,4) x1 = 2 and y1 = 4
sub it in
y - 4 = 2(x - 2)
y - 4 = 2x - 4
y = 2x - 4 + 4
y = 2x (B)
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do you understand how I did that ?

Answer 3

# 2 and 3 are done the same way. Put your equation in y = mx + b form, where m is your slope.Then sub the slope you found and your points into the point slope formula, and then solve for y.

Answer 4

# 4 and 5 are a little different because you are looking for a perpendicular line. You start out the same and put the equation in y = mx + b form. The slope you find will then have to be turned into the negative reciprocal. For instance, if you have a slope of 3/2, you take the negative reciprocal (flip the fraction and change the sign). The negative reciprocal of 3/2 is -2/3.
You take the negative reciprocal and your points and sub it into the point sope formula and solve for y.

Answer 5

yes i understand how to do all that just this is a matching problem

Answer 6

oh never mind i understand what you did thank you

Answer 7

your welcome.....I answered your last question , just letting you know :)

Answer 8

so 1 is B
2 is e
3 is d
4 is a
5 is c
am i right?

Answer 9

a. y = -5x + 15
b. y = 2x
c. y = -3x + 14
d. y = -2x - 1
e. y = -4x + 20
this is the items to match

Answer 10

check 2 and 3 again :)