Answer:
y = -½x + 5
Step-by-step explanation:
Formula for slope intercept form is y = mx + b
Where m represents the slope and b represents the y intercept
.............................
Solving for m
...........................
m = (y2 - y1)/(x2-x1)
y2 = 4, y1 = 2
x2 = 2, x1 = 6
m = (4-2)/2-6)
m = 2/(-4)
m = -½
.......................
Solving for b
.........................
Using point F(6,2) as reference
y = 2, x = 6, m = -½
if y = mx + b
Substituting 2 for y and 6 for x in the above equation
2 = -½ * 6 + b
2 = -3 + b
2 + 3 = b
5 = b
b = 5
OR
Using Point G(2,4) as reference
y = 4, x = 2, m = -½
if y = mx + b
Substituting 4 for y and 2 for x in the above equation
4 = -½*2 + b
4 = - 1 + b
4+1 = b
5 = b
b = 5
.............................................
Finally, we have to write the equation in slope form
Using y = mx + b
where m = -½ and b =5 ................ (Calculated)
y = -½x + 5
Answer:
Step-by-step explanation:
<u>Properties of a parallelogram</u>
- Two adjacent angles are supplementary
- Opposite angles are congruent
- Opposite sides are parallel and congruent
Use the properties to find the required parameters
1) <u>Find m∠YXV</u>
- m∠YXV + m∠VXW + m∠VWX = 180°
- m∠YXV + 40° + 84° = 180°
- m∠YXV = 180° - 124°
- m∠YXV = 56°
2) <u>Find m∠Y</u>
3) <u>Find x</u>
Answer:
32
Step-by-step explanation:
