If you know two points on a line how can you find the rate of change of the variables being graphed

1 answer:

6 0

U find the slope of the two points, and that is the rate of change. the slope equation is y2-y1/x2-x1 ,, so for example, if you have the points (3,1) and (4,6) the equation you would do is 6-1/4-3 , which is equal to 5/1 (aka 5) , therefore the rate of change (and slope) is 5

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Answer:

3rd option, $y-1 = \frac{1}{2} (x-5)$

Step-by-step explanation:

To find out which option is correct, we can write the equation in point-slope form ourselves.

Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation in point-slope form. Substitute the $m$ , $x_1$ , and $y_1$ for real values.

Since $m$ represents the slope, substitute $\frac{1}{2}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (5,1) into the formula as well. Substitute 5 for $x_1$ and 1 for $y_1$ . This gives the following equation:

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Step-by-step explanation:

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