Answer:
y = -5x - 1
Step-by-step explanation:
Let the equation of a line parallel to the given line is,
y - y' = m(x - x')
Where m = slope of the line
And line passes through (x', y')
Equation of a line has been given as,
5x + y = 4
y = -5x + 4
Slope of this line = -5
By the property of parallel lines "slope of the parallel lines are same",
m = -5
Parallel line passing through (-1, 4) and slope 'm' = -5 will be,
y - 4 = -5(x + 1)
y - 4 = -5x - 5
y = -5x - 5 + 4
y = -5x - 1
Therefore, equation of the parallel line will be,
y = -5x - 1
Answer: Consistent (and independent)
Step-by-step explanation:
The meaning of the options are:
Consistent (and independent): There is only one point of intersection between the two lines.
Inconsistent: The lines never touch each other, this only can happen when the lines are parallel, so they have the same slope but a different y-intercept.
Equivalent (also called consistent and dependent): This happens when both lines are the same line, so they intersect in an infinite number of points.
In the graph, we can see that the lines intersect in only one point, then we can conclude that the system is consistent.
First, we need to find the area of the carpet. The equation for area is a=lw so plugging in the values gives us 8 * 10 = 80.
Now we need to find how much the carpet cost per square inch.
We divide price / quantity plugging in the values gives us 400 / 80 = 5
Let us check our work: 5 * 80 = 400 All check!
So for every square inch of the carpet costs $5.
