Answer:
x = 0, y = -1
Step-by-step explanation:
10x = 5y + 5
y = 2x - 1
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10x = 5(2x - 1) + 5
10x = 10x - 5 + 5
x = 0
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y = 2x - 1
y = -1
Answer:
Multiply by 2
Step-by-step explanation:
If we multiply 2x-6y=26 by 2, we get 4x-12y=52 and the x's cancel out, making it easier to solve for y, using the elimination process.
Hope this makes sense!
Write the equation of the lines in slope-intercept form (y=mx+b)
First equation: It is already in slope-intercept form
Second equation: solve y:
Identify the slope of each line:
If two or more lines have the same slope then the lines are parallel
If two lines have slopes that are negative reciprocals then the lines are perpendicular
The two given lines have the same slope: 2/5. Then, they are parallel lines
Answer: choice D) 20
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Explanation:
Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.
Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.
We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.
To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope
In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20
The slope of the line is 20, so therefore, the average rate of change is 20.
