Answer:
Step-by-step explanation:
The point-slope formula is 
. When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute 
, 
, and 
for real values.
1) First, find , or the slope. Use the slope formula 
and substitute the x and y values of the given points. Then, solve:
Therefore, the slope of the line is -10.
2) Now, substitute the needed real values into the point-slope formula, . Since represents the slope, substitute -10 in its place. Since and represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:
Answer:
6.375 cups of raisins
Step-by-step explanation:
The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.
So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:
(4.25 ÷ 2) × 3 = 6.375
Answer:
the solution is (2, -6)
Step-by-step explanation:
Substitute the second equation into the first, replacing y in the first:
2x - (-4x+2) = 10
Simplifying, we get:
2x + 4x - 2 = 10, or:
6x = 12, which yields x = 2.
Substituting 2 for x in the second equation yields y = -4(2) + 2 = 0, or y = -6
Then the solution is (2, -6).
Answer:
top left
Step-by-step explanation:
