Answer:
1/3 is the slope
Step-by-step explanation:
hope this helps
Answer:
The desired equation is y = (-8/3)x + 26/3.
Step-by-step explanation:
Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y. Thus, the slope of the line thru these two points is m = rise / run = -8/3.
Using the slope-intercept form of the eq'n of a straight line and inserting the data given (slope = m = -8/3, x = 4, y = -2), we get:
y = mx + b => -2 = (-8/3)(4) + b, or -2 = -32/3 + b
Multiply all terms by 3 to clear out the fraction:
-6 = -32 + 3b.
Then 26 = 3b, and b = 26/3.
The desired equation is y = (-8/3)x + 26/3.
Answer:
1) It has a y-intercept of 4
2) A, the rate of change represents how fast the boys run every hour.
Answer:
Line QR = line BC
Step-by-step explanation:
To prove congruency using the SAS theorem, (SAS = Side Angle Side)
You obviously need 2 sides and 1 angle.
BUT
The ONE angle has to be right between the TWO sides, hence the name: side ANGLE side.
So coming to your problem:
We know angle Q = angle B. And QS=BD
We need one more SIDE. Pick side QR in triangle RQS. Is angle Q in the middle of QR and QS?
Yes it is!
Now find the corresponding side in the other triangle to QR. This is the shortest side, BC.
Check:
Is angle B in the middle of CB and BD?
Yes!!
So you can prove the congruency of these two triangle using the SAS theorem if you know that BC = QR. That’s your answer.
Hope this helped!!!!!
PS let me know if it’s correct!
