Write an equation that has (1, 2) as a solution. Substitute (1, 2) into the equation to verify your answer.
well x = 1 and y = 2
what if y = x+1?
what if y^2 = x^2+2x+1 ?
etc :)
To write an equation that has (1, 2) as a solution, we need to understand that the equation of a straight line can be represented as y = mx + c, where m is the slope of the line and c is the y-intercept.
To find the equation, we need to determine the values of m and c using the given solution point (1, 2).
Step 1: First, substitute the x and y values of the solution point (1, 2) into the equation y = mx + c.
2 = m(1) + c
Step 2: Simplify the equation by substituting the values.
2 = m + c
Now, we have an equation with two unknowns, m and c. To solve for these variables, we need another equation or more information.
However, we can verify our answer by substituting the given solution point (1, 2) into the equation and checking if it holds true.
Using the equation 2 = m + c, let's substitute x = 1 and y = 2:
2 = m + c
Since the equation holds true when x = 1 and y = 2, we can conclude that the equation y = m(1) + c is valid and (1, 2) is indeed a solution.