Find the equation of a line containing the given points. Write the equation in slope-intercept form. y = ?

y = 1x+1

Step-by-step explanation:

Slope-intercept form is: y=mx+b

In order to find the slope, or "m" in this formula with two given points, use the slope formula for two coordinates: m= .  In this formula, y2 is the second coordinate's y value, y1 is the first coordinate's y-value, and likewise x2 is the second coordinate's x value, x1 is the first coordinate's x-value.

In this problem specifically, we were given coordinates (2,3) and (-2,-1).

This is how those above values would line up:

y2 = -1

x2 = -2

y1 = 3

x1 = 2

Once this is plugged into the formula it becomes , which simplifies to a slope (m) of 1.  

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Next to find the y-intercept, or "b" we simply need to plug in a coordinate's values into the slope-intercept form, and I chose (2,3) for simplicity's sake.

This would become (3) = 1(2) + b. Then just solve for b using algebra, which results in a b value of 1.  

The answer is y= 1x +1 which can alternatively be written as y=x+1