First, find the slope of the given points (m = y2 - y1 / x2 - x1)
m = (6-1) / (-4-1) = 5/-5 = -1
Then substitute the slope and the coordinates of either point for x and y into y = mx + b, we’ll use (-4,6)
6 = (-1)(-4) + b
Solve for b
6 = 4 + b, subtract 4 from both sides: b = 2
Rewrite y = mx + b with m = -1 and b = 2
Equation: y = -1x + 2 or y = -x + 2
Answer:
D. The scale factor is 1:840
Step-by-step explanation:
Make 630 ft into inches, so 7560
Then make it 9/7560, which simplifies to 1/840
Answer:
5*(a + 6)
Step-by-step explanation:
5a + 30 = 5*(a + 6)
Since 90 degrees is 1/4 of a circle then 1/4 of 12 is 12/4 = 3m^2
Answer:
1) True 2) True 3) False 4) True
Step-by-step explanation:
In this question let's verify those options
1.Triangle A B C is inside triangle D E F. (true)
If A, B and C are midpoints of DEF then connecting those midpoints we have an interior triangle.
2. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. (true)
3. Angles D F E and A B C are right angles. (false)
These triangles are similar. And In this case, the right angles are:

D and C are opposed to the larger side, and not F, and B
Because:
4. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. (true)
Let's test this by the Pythagorean Theorem. For DE is the hypotenuse and FD and FE is their legs.
