# How do you write an equation in slope intercept form given that the line passes through the points (4,1) and (2,-3)?

First we have to find the slope of the equation. To find the slope we have to do;

The main formula of a line is;

We should use one point to find the real equation. If we use (4,1) point;

a is the slope of the equation, we found that as

So the equation of the line will be;

We can check if our equation is right or not with other given point;

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To write an equation in slope-intercept form (y = mx + b) given that the line passes through the points (4,1) and (2,-3):

- Calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) = (4,1) and (x2, y2) = (2,-3).
- Once you have the slope (m), choose one of the points (either (4,1) or (2,-3)) and substitute the coordinates into the equation y = mx + b to solve for the y-intercept (b).
- After finding the slope (m) and the y-intercept (b), write the equation in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

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