the ordered pairs (1,4), (3,12) and(5,20) represents the distance y the Dario walks after X seconds plot ordered pairs in the co
ordination plane and draw a line through the points
2 answers:
Answer: The answer is given in the attached figure below.
Step-by-step explanation: Given that the ordered pairs (1,4), (3,12) and(5,20) represents the distance y the Dario walks after x seconds.
We are to plot the given ordered pairs in the co-ordinate plane and to draw a line through them.
As shown in the attached figure below, the distance y the Dario walks after x seconds is plotted on the co-ordinate plane.
The time in seconds is plotted across X axis and the corresponding distance walked by Dario is plotted across Y axis.
The point (1, 4) is represented by A, (3, 12) is represented by B and (5, 20) is represented by C.
Finally, we join the points A, B and C to make a straight line l.
Thus, the attached figure below is the required answer.
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
Switch the sides
Divide both sides by 2 to isolate y
Now that this equation is in slope-intercept form, we can easily identify that is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope
. Plug this into
:
<u>2) Determine the y-intercept</u>
Plug in the given point, (4,0)
Subtract both sides by 6
Therefore, -6 is the y-intercept of the line. Plug this into as b:
I hope this helps!
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