Algebra : Finding the Equation of a Line Quiz

The following quiz focuses on finding the equation of a line in the form y = mx + b (where m is the slope and [0, b] is the y-intercept) when different information is given. In some instances, the slope and the y-intercept are given. In other cases, the slope and a point on the line are given. In other cases, two points on the line are given. In other cases, a point on the line is given along with the equation of a second line that has the same slope or y-intercept as the line you're trying to find.

Example: Find and equation of the line that contains the point (2, 5) and has a slope of 3.

The equation of the line will be of the form y = mx + b where the given slope, m is 3.
Therefore y = 3x + b.
Substitute into this equation the coordinates x = 2 and y=5 and solve for b.
Therefore 5 = (3)(2) + b
So 5= 6 + b
and b = -1.
Therefore the equation of the line is y = 3x - 1.