"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]