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Find an equation of the line that contains the given pair of points.
(25, 26), (6, 7)

Answer 1

y = x + 1

Explanation:

Since we have two points, we can find the equation of the line in slope-intercept form or y = mx + b, where m is the slope and b is the y-intercept.

We can find the slope using the slope formula, which is:

`(y_(2)-y_(1) )/(x_(2)-x_(1) )`, where y2 and x2 are one point on the line and y1 and x1 are the other point on the line:

Thus, we have:

`m=(7-26)/(6-25)\\ m=(-19)/(-19)\\ m=1`

Now that we have the slope, we choose one of the points and plug in the slope to find the y-intercept:

`26=1(25)+b\\26=25+b\\1=b`