Which best describes the equation that the graph represents?
2 answers:
Answer:
y= x
Step-by-step explanation:
Given the two points:
- Origin (x1, y1) = (0, 0)
- The point (x2, y2) = (5, 9)
Because the x-axis is labeled time (in minutes) and the y-axis is labeled distance (in kilometers).
=>Time, x the independent variable,and distance is the dependent variable.
We have the standard form of a linear equation is:
y= mx + b where a is the slope
We know that, the slope of the function is:
m =
In this situatuon, m =
=> y= x + b(1)
The line that goes through (0, 0) so we substitute (0, 0) into (1), we have:
0 = *0 + b
<=> b = 0
So our equation that the graph represents is: y= x
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for example, let's look at the first set
y+3x =5 or y = -3x+ 5
and y = -3x + 2
y = m + b
the slopes are equal, the y-intercepts differ
that means, they're just parallel lines, no solution