The easiest way to solve this problem is to find the equation of the line joining these two points, then get the values of the points on this line.
We have first point (x1,y1) = (-3,4) and second point (x2,y2) = (1,1).
The equation of the line is y = mx + c
The slope (m) = (y2-y1) / (x2-x1) = (1-4) / (1--3) = -0.75
Then we will use one of these points to get the value of c as follows:
y = mx + c
1 = -0.75 (1) + c ..............> c = 1.75
The equation of this straight line is:
y = -0.75 x + 1.75
Now to get points on this line, we will assume values for either x or y and calculate the other as follows:
1- For x = 0:
y = -0.75 (0) + 1.75 = 1.75
point is (0,1.75)
2- For y = 0:
0 = -0.75 x + 1.75 ..............> x = 2.334
point is (2.334,0)
3- For x = 2:
y = -0.75(2) + 1.75 = 0.25
point is (2,0.25)
Answer:
-1
Step-by-step explanation:
parallel lines always have the same slope
Answer:
It is open if it is greater or less than >
It is closed if it is greater than or equal to or less than or equal to > (but with the line underneath it)
Step-by-step explanation:
Answer:$16,875
Step-by-step explanation:
25% of 22500 is 5625.
22500-5625=16875.
Answer:
Irene has 3 cupcakes right now. If she wants 8 cupcakes in total, how many more does she need to buy?
x = 5
Step-by-step explanation:
The problem breaks down to 3+x=8 because:
- 8 is the total number of cupcakes
- The total cupcakes is 3 and a number she will buy
- "x" is the number of cupcakes she will buy
Solve the equation:
We want to keep 'x' on the left side, moving everything to the right side (this is called isolating 'x'). Do the reverse operation to the entire equation for numbers you want to move.
3 + x = 8 Move the '3' to the right. The opposite of positive 3 is - 3
3 - 3 + x = 8 - 3 Subtract 3 from both sides. 3-3=0, it cancels out
x = 8 - 3 'x' is isolated. Solve right side
x = 5 Final answer
Therefore Irene will buy 5 cupcakes to get 8 in total.
