<h3>
Answer: 50%</h3>
Work Shown:
change = new - old = 189-126 = 63
percent increase = (change/old)*100%
percent increase = (63/126)*100%
percent increase = (0.50)*100%
percent increase = 50%
50% of 126 = 0.50*126 = 63
126+63 = 189
The answer is confirmed.
The two linear equations are:
1) y = -x + 5
2) y = (-1/2)*x - 1
<h3>
</h3><h3>
How to get the linear equations?</h3>
Remember that two linear equations are parallel if and only if have the same slope and different y-intercept.
So to find a linear equation:
y = m*x + b
Parallel to:
x + y = 4
y = -x + 4
The slope needs to be m = -1 and the y-intercept b ≠ 4
So our line will be:
y = -x + b
To find the value of b, we use the fact that this line passes through (2, 3), replacing the values of the point in the line we get:
3 = -2 + b
3 + 2 = b
5 = b
The linear equation is y = -x + 5
For the second case, we want to find a line perpendicular to:
2x - y = 5
y = 2x - 5
Two lines are perpendicular if the product of the slopes is -1, then:
m*2 = -1
m = -1/2
So the perpendicular line is something like:
y = (-1/2)*x + b
To find the value of b we use the fact that this line needs to pass through (6, -4)
Replacing these values we get
-4 = (-1/2)*6 + b
-4 = -3 + b
-4 + 3 =b
-1 = b
The line is:
y = (-1/2)*x - 1
Learn more about linear equations:
brainly.com/question/1884491
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Answer:
y = 6x +1
Step-by-step explanation:
To write the slope-intercept form equation for a line, you need to know the slope and the y-intercept. These can be found from their respective formulas.
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<h3>slope</h3>
The slope of a line between points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (-1, -5) and (0, 1), the slope is ...
m = (1 -(-5))/(0 -(-1)) = 6/1
m = 6
<h3>y-intercept</h3>
The y-intercept is the value of y where the line crosses the y-axis. That axis is where x = 0. There is a formula that can be used to find the y-intercept from the slope and a point on the line:
b = y -mx . . . . . y-intercept of line with slope m through point (x, y)
However, one of the given points is already the y-intercept: (0, 1). It tells you b=1.
<h3>equation</h3>
The slope-intercept equation is ...
y = mx +b
y = 6x +1
