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Question 561160: given the linear equation below, find the slope and the x and y intercepts 3x-2y=7
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website!
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.
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