Which table shows a linear function
2 answers:
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<u>Answer:</u>
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<u>Step-by-step explanation:</u>
To find the equation of the line, let's first consider the points whose coordinates we have been given:
• (6, 1)
• (2, 0).
The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.
Next, let's calculate the slope (gradient) of the line using the formula:
where:
m = gradient,
and
= points on the line.
Using the formula:
⇒
Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:
You can use any of the points on the line as and
.
Using (2, 0):
⇒
Therefore the equation of the line is .
Learn more about point-slope form at: