To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)
Answer:
The answer is sometimes.
If the two lines have the same slope, then there will be 0 solutions, and if the two lines are the same, then there will be infinite solutions.
Hope this helps!
Two sets of (2+3) because that is 5 times 2 which is ten. The other is 3 times three which is 9
Answer:
One 8 is in the hundrenths place and another one in the ones place
Step-by-step explanation:
The answer is: 1.5, meaning 43 is approximately 10^1.5.