Questions: Complete the table below to find solutions to the linear equation y=2x-5.
Transcript text: Complete the table below to find solutions to the linear equation $y=2 x-5$.
Solution
To complete the table and find solutions to the linear equation y=2x−5, we need to choose values for x and then calculate the corresponding y values using the given equation.
Let's choose a few values for x and compute y:
When x=0:y=2(0)−5=−5
So, the point is (0,−5).
When x=1:y=2(1)−5=−3
So, the point is (1,−3).
When x=2:y=2(2)−5=−1
So, the point is (2,−1).
When x=3:y=2(3)−5=1
So, the point is (3,1).
When x=−1:y=2(−1)−5=−7
So, the point is (−1,−7).
Summarizing the points in a table:
x0123−1y−5−3−11−7
These points represent solutions to the linear equation y=2x−5.