The table of the tolls for Henderson is the direct variation since the cost is proportional to the miles traveled.
I'm pretty sure this is right because there is 1.5 per one Wich is also written as a fraction
Equation of a line: y = mx + b
m = slope(rise/run), b = y-intercept
1/2
y = 1/2x - 3
-7/4
y = -7/4x +4
-1/2
y = -1/2x - 3
-1/4
y = -1/4x + 2
1
y = x
-1
y = -x
Answer:
y = -x +4
Step-by-step explanation:
The y-intercept of the line is at +4, so the only viable choice is the last choice.
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Each of the equations is shown in slope-intercept form:
y = mx + b
where b is the y-intercept, the y-value when x=0. The graph shows that as point (0, 4). So, the equation you're looking for is ...
y = (some x-term) +4
If you want to spend more brain power on the problem, you can compute the slope of the line as ...
m = ∆y/∆x = (1-4)/(3-0) = -3/3 = -1
Now, you know for sure the equation of the line is ...
y = -x +4
