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:
66
Step-by-step explanation:
Answer:
L = (x - 2) meters
Step-by-step explanation:
The area of the rectangle = (x² - 7x + 10) m²
The width = (x - 5) m
length = ?
Area of a rectangle = length × width
x² - 7x + 10 = L(x -5)
note L = length
divide both sides by (x-5)
(x² - 7x + 10)/(x - 5) = L
L = x² - 7x + 10 / (x -5)
Factorize x² - 7x + 10
find the numbers you can multiply to give you 10 and also add to give you -7
The numbers are -2 and -5. Therefore,
x² - 2x - 5x + 10 = 0
x(x - 2) - 5(x - 2) = 0
(x-5)(x-2) = 0
Let us go back to our division
L = x² - 7x + 10 / (x -5)
x² - 7x + 10 = (x-5)(x-2)
L = (x-5)(x-2) / (x -5)
L = (x - 2) meters
Answer:
84/2=42
Step-by-step explanation:
The multiplication problem 42×2 has a product of 84, this also means that 84/2 is a dividend of 42. This means that 84/2 is 42
