William W. answered • 02/14/19
Math and science made easy - learn from a retired engineer
Thge generic form of a linear equation can be written as y = mx + b [where y is equivalent to f(x)]. Plug in the two conditions to get two equations:
10 = m(5) + b
1 = m(9) + b
Solve this system of equations by whatever way you like. An easy way would be to move the "m" portion to the left side of the equation on both equations to get:
10 - 5m = b
1 - 9m = b
Since b will be the same in both equations, you can set the two left sides equal to each other:
10 - 5m = 1 - 9m. Then combine like terms to solve for m. Once you get m, plug it back into b = 10 - 5m to find out what b is. Then plug the m and b you found back into the y = mx + b equation to get your answer.
