Slope-y Intercept Equation of a Line G7

Introduction

The slope y-intercept equation of a line is given by y equals Mx plus B where m is the slope and B is the y intercept. It is a linear function whose degree is 1. Its graph is a straight line. The slope equals rise/run or y2- y1/x2-x1. The y- intercept is at (0,B)

Example 1. A line passes through the points (2,0) and (3,1). What is its equation?
Solution 1: M equals 3-2/1-0 equals 1. The y intercept B is 2. Y equals x plus 2.

Example 2: Find the equation of the line parallel to x -3/4y equals 5 and passes through (3,4).
Solution 2:
Any line Parallel to x -3/4 y equals 5 will have a slope of 3/4.
Now find B : (4) equals 3/4(3) plus B. B equals 4-9/4 equals 7/4.
The equation is y equals 3/4x plus 7/4.

Example 3: Find the equation of the line containing the points (4,7) and 6,5).
Solution 3.
M equals 7-5/4-6 equals-1/2. Y equals -1/2x plus B.
(7) equals -1/2(4) plus B. B equals 7 plus 2 equals 9.
The equation is y equals -1/2x plus 9.

Conclusion:

The slope y intercept equation of a line is one form for the equation of a line. It gives you the slope which is how steep a line is and the y-intercept where the lines crosses the y axis. It’s easy to graph once you have the y intercept and rise/run ( the slope).