Hi there! The slope of the line is -2/5.
We can determine the slope of a line by dividing the change of y-coordinates by the change of x-coordinates.
In this situation we have a...
change of x-coordinates of (5 - 0) = 5
change of y-coordinates of (0 - 2) = -2
Therefore, the slope of this line is -2/5
Answer:
b = 40
Step-by-step explanation:
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.
This situation can be described by an equation of the form y=mx+b , where
x = the time in hours
y = the cost in dollars.
What is the value of b in this equation?
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair
Writing the above in an equation =
y = $70 × x + $40
y = 70x + 40
Therefore, the value of b in the expression = 40
Slope of a line contatining the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
so slope between (-6,3) and (2,-5) is
(-5-3)/(2-(-6))=(-8)/(2+6)=-8/8=-1
the slope is -1
4x+y>-6
y>-4x-6
Then:
(-1,-1)
if x=-1; and y=-1
-1>-4(-1)-6
-1>4-6
-1>-2;
(-1,-1) is a solution for this in-equation.
(0,-9)
0>-4(-9)-6
0>36-6
0>30 this is not true, therefore (0,-9) is not a solution.
(4,-20)
-20>-4(4)-6
-20>-16-6
-20>-22 This is true, therefore (4,-20) is a solution.
(2,0)
0>-4(2)-6
0>-8-6
0>-14 This is true, therefore (2,0) is a solution.
(-3,6)
6>-4(-3)-6
6>12-6
6>6 This is not true, therefore (-3,6) is not a solution for this in-equality.
Answer: The next pairs are solutions to this inequality: (-1,-1) , (4,20), (2,0).