Answer:
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= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. 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 [tex]\frac{-1-3}{-2-2}[/tex] , which simplifies to a slope (m) of 1.
____________________________________________________________
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
