You can put this solution on YOUR website! When you are given the slope of a line and a point on that line and are asked to find the equation of the line itself, we use the 'point-slope' formula.
The point slope formula is as follows:
y - y1 = m( x - x1 )
You replace x1 with the 'x' coordinate from the point given, y1 with the 'y' coordinate from the point given, and 'm' with the slope given.
Step 1: Let's begin by substituting what we have into the point-slope formula
Point-slope formula: y - y1 = m( x - x1 )
Point given: (5,6)
Slope given: m = 2/3
Step 2: Distribute the (2/3) to everything in the parenthesis
Step 3: Combine like terms by adding 6 to both sides to get 'y' by itself
Step 4: Find the LCD so you can add the fractions together. The least common denominator here is '3' because the least number that both fractions can go into is '3'
Step 5: Multiply (6/1) to 3 on both the numerator and denominator to be able to add the fractions
Step 6: Add the fractions because they have the same denominators now
The equation of the line is
