Question 561160

To find the slope, you must isolate y.  

3x - 2y = 7

-2y = -3x + 7

y = (-3x + 7)/-2

y = (3/2)x - 7/2


The slope is the coefficient of x in the equation y = (3/2)x - 7/2.


Do you see it?  It is the number next to x.


The slope is 3/2.


To find the x-intercepts, set y = 0 and solve for x.


3x -2(0) = 7


3x - 0 = 7


3x = 7


x = 7/3


The x-intercept is x = 7/3 which can be written as the point (7/3, 0).


This is the point where the graph of the equation crosses the x-axis.


To find the y-axis, set x = 0 and solve for y.


3(0) - 2y = 7


-2y = 7


y = -7/2


The y-intercept is -7/2 which can written as the point (0, -7/2).


This is the point where the graph of the equation crosses the y-axis.


By the way, in the equation y = (3/2)x - 7/2, you can see the fraction -7/2 (our y-intercept).


This is the a quick way of finding the y-intercept because the equation is written in the form y = mx + b, where m is the slope and b is the y-intercept.