what is the equation of line AB? A(0,6) B(7,3)

Question

anonymous · Answer

y = 3x + 6

anonymous · Answer

Do u want to know how to do this ?

anonymous · Answer

sry messed up co-ordinates 

it should be y = 3/7x +6

anonymous · Answer

sry,typo y = -3/7x +6

anonymous · Answer

dont wry y = -3/7x + 6 

ths time no typo , no messing up :)

anonymous · Answer

The equation of a straight line is $$y=mx+c$$ where m is the slope and c is the y-intercept.  To find the slope divide the difference in y values, by the difference in x values thus $$m=\frac{y_1-y_2}{x_1-x_2}$$.  Once you have found the slope, choose a point, and plug the values for x and y into the straight line equation and solve for c.  So in this instance we would have a slope of $$m=\frac{6-3}{0-7}=-3/7$$.  So we now have $$y=-\frac{3}{7}x+c$$.  We choose the point (0,6) where x = 0 and y = 6, and plug the numbers in to get $$6=-\frac{3}{7}\times0+c$$ making c = 6.  So the final equation is $$y=-\frac{3}{7}x+6$$ or to remove the fraction multiply everything by 7 and we get $$7y=-3x+42$$