SOLUTION: Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work. 7x-4y=14

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Question 423928: Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.
7x-4y=14

Found 2 solutions by linht117, htmentor:
Answer by linht117(37) (Show Source):
You can put this solution on YOUR website!
x-inter is when y=0, y-inter is when x=0
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x- intercept=
7x-4(0)=14
7/7x=14/7
x=2
_____________
y-intercept
7(0)-4y=14
-4y/-4=14/-4
y=-7/2 or -3.5
_____________

Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website!
The intercepts are the points where the graph crosses the axes. So the x-intercept is the x value when y=0, and the y-intercept is the y value when x=0.
First put in standard form (y = mx + b)
7x - 4y = 14 -> 4y = 7x - 14 -> y = 7/4x - 7/2
Putting x=0 in the equation gives y = -7/2. (We already knew this since the 'b' in the above equation represents the y-intercept)
Putting y=0 in the equation gives 7/4x = 7/2 -> x = 2