Graphing a Line Using Its Slope and y-Intercept
The equation of a line with a slope of m and a y-intercept of (0, b) is y = mx + b.
To graph a line that is written in slope-intercept form:
- Plot the y-intercept on the coordinate plane.
- Use the slope to find another point on the line.
- Join the plotted points with a straight line.
Example:
Graph the line. y = 4x – 3
Solution:
This line is given in slope-intercept form: y = mx + b.
The y-intercept of the line is –3. b = –3
The slope of the line is 4. m = 4
Therefore the graph of the equation is shown below.
Example.
Determine the equation of the graph that is shown.
Solution:
The y-intercept of the line is 1. b = 1.
The slope of the line is –2/3. m = –2/3.
Substitute these values into the slope-intercept equation of a line: y = mx + b
The equation of the line is 
.
In the xy-plane above, point C has coordinates (6, 9). Which of the following is an equation of the line that contains points O and C?
The graph shown above gives the relation between x° F and y° C. Which equation is represented by the graph?
0 out of 0 correct.