if the point (-3, 4) is on the line, then we should get y=4 when we plgin x=-3 into the equation representing the line.
we're given the equation of the line which is
y = (-1/2)x – (5/2)
so let's see the value of y we get when we plug in x=-3
at x=-3:
y = (-1/2)*(-3) - (5/2)
= 3/2 - 5/2
= -2/2
= -1
so when x=-3, y=-1
so the answer is NO, the point (-3, 4) is not incident to the line y = (-1/2)x – (5/2)
easiest way to solve this is to plug in -3 and 4 into the equation and see if it works. x = -3 and y = 4, so does 4 = -1/2(-3) - 5/2? If it does, it's a solution set, if not, it doesn't fall on the line.
Grab you T-183 and plug in -3 for x, if you get a y value that is 4, then you know that point lies on the line.
No
By plugging x = -3, you should get y = 4, but in reality, y = (-1/2)(-3) - (5/2) = -4
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Verified answer
if the point (-3, 4) is on the line, then we should get y=4 when we plgin x=-3 into the equation representing the line.
we're given the equation of the line which is
y = (-1/2)x – (5/2)
so let's see the value of y we get when we plug in x=-3
at x=-3:
y = (-1/2)*(-3) - (5/2)
= 3/2 - 5/2
= -2/2
= -1
so when x=-3, y=-1
so the answer is NO, the point (-3, 4) is not incident to the line y = (-1/2)x – (5/2)
easiest way to solve this is to plug in -3 and 4 into the equation and see if it works. x = -3 and y = 4, so does 4 = -1/2(-3) - 5/2? If it does, it's a solution set, if not, it doesn't fall on the line.
Grab you T-183 and plug in -3 for x, if you get a y value that is 4, then you know that point lies on the line.
No
By plugging x = -3, you should get y = 4, but in reality, y = (-1/2)(-3) - (5/2) = -4