For 2x -y = 3 find the x and y intercepts.
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An equation for a line can be written in the form x/a + y/b = 1,
where a and b are the x and y intercepts.
2x - y = 3
divide all terms by 3
=> (2/3)x - (1/3)y = (3/3)
=> x / (3/2) + y / (-3) = 1
Therefore the x intercept is 3/2 and the y intercept is -3
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Given the equation of the line 2x -y = 3
We need to find the x and y intercepts.
Let us determine the x-intercept.
The x-intercept if where the line meet the x-axis. Then, the values of y-coordinate is 0.
Then we will substitute with y= 0
==> 2x-y = 3
==> 2x -0 = 3 ==> x = 3/2
Then, the x-intercept is the point (3/2, 0)
Now we will determine the y-intercept.
The y-intercept is the point where the line meets the y-axis. Then, the values of the x-coordinate is 0.
Then we will substitute with x=0 into the equation.
==> 2x-y = 3
==> 0 -y = 3
==> y= -3
Then, the y-intercept is the point ( 0, -3)