Question

Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).
A. y + 1 = -2(x – 5)
B. y – 1 = -2(x – 5)
C. y – 5 = -2(x + 1)
D. y -5 = -2(x – 1)

Answer 1

The general equation for a line through (a, b) and slope m is:

y - b = m(x - a).

Just fill in m = -2, a = 5 and b = -1 to see what eq you get!

Answer 2

B. y – 1 = -2(x – 5)

Answer 3

y - b = m(x - a).

b = -1
m = -2
a = 5

y + 1 = -2(x -5)

Which is the 1st one.

Answer 4

Determine if lines that pass through the given points are parallel, perpendicular or neither.
Line A: (5, 4) and (7, 5) Line B: (4, -5) and (8, -3)
A. Parallel
B. Perpendicular
C. Neither
D. Cannot be determined

Answer 5

Find the slope for each line: A and B
Line A: 5 - 4/7 - 5 = 1/2
Line B: -3 + 5/ 8 - 4 = 2/4 = 1/2

Slope of Line A = Slope of Line B

They are PARALLEL.

Answer 6

Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).

A. y = 3x – 5

B. y = 3x – 13

C. y = 3x – 1

D. y = 3x + 2

Answer 7

About the parallel/perp lines:

1. calc the slope by delta y / delta x:

Line A: (4-5)/(5-7)= -1/-2 = -1/2
Line B: (-5--3)/(4-8)=-2/-4= 1/2

Two lines are parallel if they have the same slope --> NOT
Two lines are perp. if the product of their slopes = -1 --> NOT

They have different slopes and are not perp, so C. neither

Answer 8

Oops, Line A has also slope 1/2, so they are A. Parallel...

Answer 9

Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).

A. y = 3x – 5

B. y = 3x – 13

C. y = 3x – 1

D. y = 3x + 2

Answer 10

Next one: parallel, so same slope = 3. Equation is now y = 3x + b.
Find b this way: b = y - 3x. Fill in the values for x and y from the given point (5,2), and you will know the right answer!

Answer 11

i dont know how to do that

Answer 12

b = 2 - 3*5 = 2 -15 = -13, so the answer is B.

Answer 13

Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).

When you say parallel, the slope must be equal. In this case m = 3 for both lines.
We now need the x and y intercepts.
Recall that the slope intercept form is y = mx + c
We have m = 3
So the equation is now
y = 3x + c
We have the values for x and y
x = 5; y = 2
Substitute them in the equation above:
2 = 3(5) + c
2 = 15 + c
2 - 15 = c
-13 = c

Now input the final equation: y = 3x - 13

Which is B.