The graph represents distance traveled varying directly with time.
2 answers:
The direct variation equation is . That means, in words, that y varies directly as x. k is the constant of variation. We can pick a coordinate point on the graph to solve for this constant, then use that constant along with the x value of 9 hours to find the distance we could travel in that 9 hours. This is kind of like a way to write a linear equation that you could use as a model. I picked the point (2.5, 100) since the line goes right through that point. Fitting those points into the direct variation equation we get
. If we solve for k we get that k = 40. Now since time is an x value and distance is a y value, we are looking to solve for y when x = 9. We have the k, so here's the equation:
. We multiply both sides by 9 to solve for y. y = 360. Choice b from above. There you go!
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Answer: Your answer is 0 (F.O.I.L) first. outer. inner. last. Or you could use what my teacher calls the magic box
Step-by-step explanation:
So for the boxes you multiply for example the top left box you multiply the 9 above it and the 9 to the left or like the top right box you multiply the -9 above it and the 9 on the outside of the box to the left
Answer:
Step-by-step explanation:
We are given that a line has a slope of -2/3 and passes through the point (0,6)
We want to write the equation of this line; there are 3 forms of the line that we can use:
- Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
- Standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
- Slope-point form, which is
, where m is the slope and
is a point
All though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.
As we are already given the slope, we can immediately substitute m with that value.
Replace m with -2/3:
y = -2/3x + b
Now we need to find b.
As the equation passes through the point (0, 6), we can use it to help solve for b.
Substitute 0 as x and 6 as y.
6 = -2/3(0) + b
Multiply
6 = 0 + b
Add
6 = b
Substitute 6 as b.
y = -2/3x + 6
Topic: finding the equation of the line
See more: brainly.com/question/27645158