find the intercept and graph. -x+3y=-6
I need to complete the ordered pair (3,)
so im I setting the problem up right
-x(3)+3y=-6? and thus the missing ordered pair is -2?
you don't say which intercept.
If you want the x-intercept, that's where y=0, so
-x+0 = -6
x = 6
(6,0) is the x-intercept
If you want the t-intercept, that's where x=0, so
0+3y = -6
y = -2
(0,-2) is the y-intercept.
If you have the ordered pair (3,?), plug in x=3 and you have
-3+3y = -6
3y = -3
y = -1
(3,-1) is a point on the line.
To find the y-intercept of a linear equation, you can set x = 0 and solve for y. To find the x-intercept, you can set y = 0 and solve for x.
For the equation -x + 3y = -6:
To find the y-intercept, set x = 0:
-0 + 3y = -6
3y = -6
Divide both sides by 3:
y = -2
So, the y-intercept of the equation is -2, giving us the ordered pair (0, -2).
To find the x-intercept, set y = 0:
-x + 3(0) = -6
-x = -6
Multiply both sides by -1:
x = 6
So, the x-intercept of the equation is 6, giving us the ordered pair (6, 0).
To graph the equation, plot the points (0, -2) and (6, 0) on a coordinate plane and draw a straight line passing through them.