Question

What is the slope of the line 2x + 12y = 9?

Answer 1

What is the slope of the line that passes through (-1,-5)
and (3,-3)?

Answer 2

Does the line 4y + 3x = -8 pass through the point (3, 2)

Answer 3

x = -9 is the equation of a line whose slope is undefined.
(True or False)

Answer 4

y = -5x + 7 is the equation of a line that passes through
the point (3,6) and has a slope of -5. (True or False)

Answer 5

for the 1st question set the equation in terms of y and you get
\[12y=9-2x \rightarrow y=\frac{ 9 }{ 12 }-\frac{ 1 }{ 6 }x\]

Answer 6

you know what the slope is in the equation right?

Answer 7

1. 2x + 12y = 9
write the equation in slope intercept form (y = mx + b)-- m = the slope
12y = -2x + 9 (divide both sides by 12 to get y by itself)
12y/12 = -2/12x + 9/12
y = -1/6x + 3/4
slope of this line is : - 1/6

2. set 1 (-1,-5)...set 2 (3,3)
m = (y2 - y1)/(x2 - x1)
now sub...
m = (3 - (-5)/3 - (-1)
m = 8/4 = 2
slope of these points is 2

3. 4y + 3x = - 8 ....points given (3,2)
find the slope...
y = mx + b
4y = -3x - 8
y = - 3/4x - 2
now use point slope formula y - y1 = m(x - x1)
y - 2 = -3/4(x - 3)
y - 2 = - 3/4x + 9/4
y = -3/4x + 9/4 + 2
y = - 3/4x + 17/4
no, they do not cross, however they are parallel.

4. x = - 9 IS the equation of a line whose slope is undefined. This line is vertical.

5. points (3,6)....slope -5
y - y1 = m(x - x1)
y - 6 = -5(x - 3)
y - 6 = -5x + 15
y = -5x + 15 + 6
y = - 5x + 21
False. These lines are parallel.