Question 50039
The intercepts are the points where the line crosses each axis.  There are two intercepts for a staight line:

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The x-intercept is where the line crosses or intercepts the x-axis.
The value for y will always be zero and the value of x will vary.
To find the x-intercept, let y=0 and solve for x.
4x-y=3
4x-(0)=3
x=3/4
x-intercept = (3/4, 0)
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The y-intercpet is where the line crosses the y-axis.  The value of x will always be zero and the value of y will vary.
To find the y-intercept, let x=0 and solve for y.
4x-y=3
4(0)-y=3
-y=3
y=-3
y=intercept = (0, -3)
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To graph, put the equation into the slope-intercept form by solving for y:
4x-y=3
y=4x-3

{{{ graph( 300, 200, -2, 5, -5, 10, 4x-3) }}}