Thread: y intercept and x intercept

"Which of the following is an equation of the line that has a y-intercept of 2 and an x-intercept of 3?

a) -2x+3y=4

b) -2x+3y=6

c) 2x+3y=4

d) 2x+3y=6

e) 3x+2y=6

Can you include the steps? Thanks in advance

Correct answer is [d]

y-intercept means where a line cuts Y axes. if y-intercept is 2 then it means, y=2 and x=0 and also x-intercept is where a line cuts X axes and if x-intercept is 3 then x=3 and y=0.

Now to find the correct answer we put y=2 and x=0 for the first time and we get 2x+3y=6 = 2(0) + 3(2) = 6 the correct choice! but we have to test the second one also. we put x=3 and y=0 and we have :
2x+3y=6 = 2(3) + 3(0) = 6 ... again correct!
So the correct answer is [d]

Originally Posted by narbe

Now to find the correct answer we put y=2 and x=0 for the first time and we get 2x+3y=6 = 2(0) + 3(2) = 6 the correct choice!

how do you to put into the equation 2x+3y=6? where did you get this equation?
thanks in advance

i put numbers in equation instead of X and Y and I check, which for which of them the equation is true. clear?