Writing Linear Equations Using Slope and Point
Given two points (x_{1}, y_{1}) and (x_{2}, y_{2}) FIND the value for m, then USE the values for m,
and either point as ( x_{1}, y_{1} ) as the replacement values in the equation:
y = m(x â€“ x_{1}) + y_{1} then solve for y = m x + b.
1. Find the slope, yintercept and write the equation of the line that passes through the points (3, 2)
and (6, â€“ 2).
Given points: (3, 2), (6,  2) Find dy and dx directly from the table or the points.
substitute these in the equation y = m(x â€“ x_{1}) + y_{1} and simplify to y = m x + b.
or
Thus, b = 6
Write:
Equation:
Check:
Write the equation given two points:
2. Given (2, 1) and ( 3, 2) plot the points and draw the line through the points and write the
equation for the line.
Using the point (2, â€“1). write the values:
, x_{1
}= 2, and y_{1} = â€“1 as replacements in the equation:
substitute these in the equation y = m(x â€“ x_{1}) + y_{1} and simplify to y = m x + b.
or
Thus, b = 6
Write:
Equation:
Check: Use the other point ( â€“3, 2): Replace the x and y in the equation with x = â€“3 and y = 2.
in the equation that you found above. If you get a true statement then your work is correct.
Show work here:
3. Given points: (3, 2), (5, â€“3) Find Dy and Dx directly from the table or the points.
Write:
Equation:
