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Step-by-step explanation:
To determine if the point (1,3) lies on the line y = 2x + 1, we can substitute the coordinates of the point into the equation and check if it holds true.
Let's substitute x = 1 and y = 3 into the equation y = 2x + 1:
3 = 2(1) + 1
3 = 2 + 1
3 = 3
Since both sides of the equation are equal, the point (1,3) satisfies the equation y = 2x + 1, which means the point lies on the line.
Answer:
Yes, it does.
Step-by-step explanation:
To check if a point lies on a line, plug its coordinates into the equation.
Let's see if (1,3) lies on y = 2x + 1.
Substitute 3 for y and 1 for x.
3 = 2(1) + 1
3 = 2 + 1
3 = 3
Since we have a true statement, we know that the point (1,3) lies on the line y = 2x + 1.