Graph the line y=-3x
2 answers:
Step-by-step explanation: Let's graph the equation y = -3x using its slope and y-intercept. The problem here is that our equation doesn't match up quite so well with the formula y = mx + b
Our slope or <em>m</em> which is represented by the coefficient of the x-term is clearly -3. However, you might be asking what is our y-intercept or <em>b</em>. Well, y = -3x can be thought of as y = -3x + 0. So you can now see that our <em>b</em> or y-intercept equals 0.
To graph the line, we start with the y-intercept. So our first point is a 0 on the y-axis and we call that point A. When the slope is a integer, you can change it to a fraction by putting it over 1. So our slope of -3 can be thought of as -3/1.
From point A, we would go down 3 units and over 1 unit to plot point B. Now we can connect points A and B like I did in the picture and we have our line.
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Answer:
th part of the field is covered in the second sprint.
Step-by-step explanation:
A football player is running the length of a 100 yard long football field.
Let player sprints x yards with the speed = 2 yards per second.
So time taken to cover x yards player will take time = seconds
Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance =
= seconds
Now total time taken by the player can be represented by the equation
Now we can solve this equation for the value of x.
x + 100 = 40×4
x + 100 = 160
x = 160 - 100 = 60 yards
And length of the second part will be = 100 - 60 = 40 yards
Now the fraction of the field covered by the player in second sprint will be
=
= or 40%
Therefore, th part of the field was covered in second sprint.