1) Draw the coordinate plane
2) Draw the line y = - 2
It is a line parallel to the y axis, two units below the origin
3) The solution (graph of the inequality y < - 2) is all the area below the line y = - 2.
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10

Subtracting Eqn 3 from Eqn 2;

Dividing both sides by 2

Putting y=3.5 in Eqn 1

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
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Answer:
y = (-1/5)x + 23/5
Step-by-step explanation:
Given:
Two points;
(-2,5) and (3,4)
Find:
Equation of slope
Computation:
y = mx + b
5 = m(-2) + b
5 = -2m + b .......... Eq1
4 = m(3) + b
4 = 3m + b .......... Eq2
Eq2 - Eq1
-1 = 5m
m = -1/5
5 = -2m + b
5 = -2(-1/5) + b
5 = 2/5 + b
b = 23/5
y = mx + b
y = (-1/5)x + 23/5
Answer:
The equation is y = -5/6 x-4
Step-by-step explanation:
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -5/6 x+b
Substitute in the point
-9 = -5/6(6) +b
-9 = -5+b
Add 5 to each side
-4 = b
The equation is y = -5/6 x-4