3x - 6y = 20
-6y = -3x + 20
y = 1/2x - 20/6.....slope = 1/2...y int = -20/6 = -10/3
2x - 4y = 3
-4y = -2x + 3
y = 1/2x - 3/4..slope = 1/2...y int = -3/4
same slope, different y int = parallel lines = no solution = inconsistent
Answer:
x = 2
Step-by-step explanation:
Given
8(4 - x) = 7x + 2 ← distribute parenthesis on left side
32 - 8x = 7x + 2 ( subtract 7x from both sides )
32 - 15x = 2 ( subtract 32 from both sides )
- 15x = - 30 ( divide both sides by - 15 )
x = 2
Answer: The slope of the line is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:

Then, given the points
and
, you can identify that:

Knowing these values you can substitute them into the formula for calculate the slope:

Finally, evaluating, you get that the slope of that line is:
