Question

Find the x- and y-intercepts of 3x + 6y = 18

Example of answer , (0,0) , (0,0)


please put the steps too.

Answer 1

Right now, the equation is in standard form, you need to get it to slope intercept form.

Step 1: subtract the 3x to the other side.

`6y = - 3x + 18`
Step 2: divide the 6 to both sides

`y = - (3)/(6) + (18)/(6)`
Step3: This can be reduced to

`y = - (1)/(2) + 3`
Now you are ready to answer your questions

Y-intercept: this one is easy, it's just the 3 on the end (0,3)

X-intercept: you have to solve for x
Step 1: set the equation equal to Zero

`- (1)/(2) x + 3 = 0`
Step 2: subtract the 3 to the other side

`- (1)/(2) x = - 3`
Step 3: multiply both sides by -2 to get rid of the fraction on the left.

`1x = 6`
Step 4: technically you divide the 1 to both side, but you still get put 6.

`x = 6`

FINAL ANSWER:
X-intercept (6,0)
Y-intercept (0,3)