Question 1204229
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In the equation y=mx+b, b is the y-intercept, which we are given to be -2.  So to find the equation in y=mx+b form, we only need to find the slope m.<br>
I firmly believe students will enjoy math more if they understand what they are doing instead of plugging numbers into formulas.  I have seen hundreds of cases where students got the wrong value for the slope because they plugged the wrong numbers in the wrong places in the slope formula.<br>
To find the slope of the line from the given information, we need to determine the slope of the line through the two given points (0,-2) and (4,0).  Instead of plugging numbers into the formula or slope, use the basic concept of slope = rise over run.<br>
From (0,-2) to (4,0), the run is 4 and the rise is 2, so the slope is 2/4 = 1/2.<br>
And so the equation of the line in y=mx+b form is<br>
y = (1/2)x-2<br>