Answer:
because the ratio of the change in y to the change in x is constant.
Draw any two right triangles whose diagonal is a section of the line, and they are similar, since the have common angles.
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A straight line on a graph shows a constant rate change because the line never change. if the line changed, it wouldn't be a constant rate change.
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If the line is straight it changing at the same rate.
Step-by-step explanation:
Answer: y = -0.04x + 17.2
Explanation: The y-intercept is the point where the graph crosses the y-axis. In an equation in slope-intercept form, y=mx+b, it is b, the number added after the x.
Looking at our graph, we can see that the graph intersects the y-axis a little over 17; this means our y-intercept, given our choices, is 17.2.
The slope is the rate of change; in slope-intercept form it is m, the number x is multiplied by.
In our graph, we can see that it goes from a little over 17 to 16 on the y-axis as it goes from 0 to 30 on the x-axis; this makes the slope about 1/30, or 0.03. The line is decreasing, so the slope must be negative. The closest match in our options is -0.04.
This makes the equation y = -0.04x + 17.2.
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Y=-0.04x+17.2
This equation matches the point at (30, 16) on the graph, and so I deem this equation as correct.
