I have a test in algebra tomorrow, and im freaking out because i dont understand it, and if i fail my test im ineligible for basketball. PLEASE help me.
Determine the coordinates of the y-intercept of 2x + 4y = 8.
2x + 4y =8
substitute 0 for x
2 (0) + 4y = 8
0 +4y = 8
subtract 0 from both sides
-0 +4y =8 - 0
4y = 8
Divide both sides by 4
Y = 2
To find the coordinates of the y intercept of any equation, you need to get it in the foll. form
y= mx + c where C is the y intercept amd m is the slope. So for this equation,
2x+4y = 8
4y= 8 - 2x
y=2-1/2x. So m=- 1/2 and y= 2.
Now when we substitute the value of x =0 ( because on y axis all values of x are 0) in the eqaution -
y= 2-1/2x 0
y = 2- 0= 2.
Therefore, the coordinates of the y intercept of 2x+4y= 8 are (0, 2)
We first need to convert this equation to y= form.
2x+4y=8. Subtract 2x from each side.
4y=8-2x. Divide both sides by 4.
y=2-1/2x. Rearranging the equation we get:
The coefficient of x (-1/2) is the slope of the line and 2 is the y intercept.
Let me know if you need any more help.
Y intercept is the point where the line passing through, therefore it happens when x =0.
X intercept is the point where the line passing through, therefore it happens when y=0.
So, if you want to obtain Y intercept let x =0, then you will get 4y = 8 and y = 2.
If you want to obtain X intercept let y =0, then you will get 2x = 8 and x = 4.
If you want to change the equation to general form of linear equation,
y = (-1/2)x + 2
You can find y interception with this equation but previous explain is quicker.