SOLUTION: In a Cartesian coordinate system, the slope-intercept form of a straight line is y = mx + b wherein m = slope and b = y-intercept. I am attempting to determine the equation of a l

Question 92205: In a Cartesian coordinate system, the slope-intercept form of a straight line is y = mx + b wherein m = slope and b = y-intercept. I am attempting to determine the equation of a line when the only information available are the coordinates of two points on the line. I have no difficulty in determining the slope (m) of the line, but try as I might I cannot determine the y-intercept. (Yes, I can draw the graph and estimate the y-intercept, but I cannot determine it algebraically. I have substituted 0 for x and plotted some sample results, but what I'm getting is inconsistent and clearly incorrect.
Can you help?
Thanks so much, John Kennedy-Grisham
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
knowing the slope of a line and a point which the line passes through allows the use of the point-slope equation

for slope m, passing through (p,q); the equation for the line is (y-q)=m(x-p)
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