Answer:
y = - 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (- 2, - 1)
m = 
= 
= - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 1), then
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation in slope- intercept form
Answer:
x=3 and x=-1.25
Step-by-step explanation:
4x^2-7x=15
subtract 15 from each side:
4x^2-7x-15=0
factor (trying different numbers that the sum is 7 and the quotient is 15)
(2x-6 )(2x+2.5 )=0
2x-6=0 add 6 to each side
2x=6
x=3
2x+2.5=0 subtract 2.5 from each side
2x=-2.5
x=-1.25
Answer:
d
Step-by-step explanation:
Note that
> means greater than
< means less than
for example : 2 < 3 means 2 is less than 3
3 >2 means 3 is greater than 2
To determine which comparison is better we have to convert litre to millimetre
1 litre = 1000mm
A 5 mm > (50 x 1000)
5 mm > 50,000
5 is not greater than 50,000
B. (2 x 1000) < 200 mm
2000 < 200
2000 is not less than 200
C. (100 x 1000) < 1,000
100,000 < 1000
100,000 is not less than 1000
D. 3200 > (3 X 1000)
3200 > 3000
3200 is greater than 3000
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