If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line? (2, 1) (1, 1) (0, 1)
@iGreen
@sarah_12
do you know how to create a line using a slope and a point?
no
you are given the slope of 2 y=mx+b so your line is y=2x+b because slope is the "m" value
(0,-1) happens to be your y intercept and that is your b value y=2x-1 that is your equation now all you have to do is figure out which of these points are on this line
sub each point in one at a time for example is (2,3) on the line x=2 y=5 y=2x-1 5=2(2)-1 5=4-1 5=3 see how both sides are not equal, then it is false and thus (2,3) is not on the line
test the three given points for your solution in the same fashion recall (x,y) First number is your x value and 2nd number is your y value
2,1?
no 1/1
seems like you are guessing
no ik what it is becaus e you said 0,-1 is my intercept so 1 up 1 would be ...
but your slope is not 1 so going up 1 is incorrect your slope is 2 therefore you should be going up 2, right 1
it is best for you just to sub the values into the equation
(0,-1) you could start at this point and then go up 2 right 1 to determine other points but then to find points below (0,-1) then you go in the opposite direction which is down 2 left 1
have you found the point yet?
yeah 2,1
(2,1) x=2 y=1 y=2x-1 1=2(2)-1 1=4-1 1=3 no because 1 does not equal 3
(1,1) x=1 y=1 y=2x-1 1=2(1)-1 1=2-1 1=1 this is the point you want
Join our real-time social learning platform and learn together with your friends!