Question 1026750
slope intercept form of the equation for a straight line is y = mx + b.


m is the slope.
b is the y-intercept.


since the line passes through the point (2,2), you can replace y with 2 and x with 2 to get:


2 = 2m + b


since b = 2m, you can replace b with 2m to get:


2 = 2m + 2m


combine line terms to get 2 = 4m.


divide both sides by 4 to get 2/4 = m.


simplify to get m = 1/2.


since b = 2m, then b = 1.


your equation is y = 1/2 * x + 1.


here's a graph of your equation.


you can see that the line passes through the point (2,2 and has a y-intercept of 1.


you can also see that the slope is 1/2 by taking the 2 points indicated and solving for the slope.


one of the points is (2,2) and the other point is (0,1).


y2 = (2,2)
y1 = (0,1)


y2-y1 = 1
x2-x1 = 2


slope is equal to (y2-y1) / (x2-x1) = 1/2.


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