Graph The Following Line Calculator

How to use this calculator

This graph the following line calculator helps you visualize linear equations. Enter your line equation in the format y = mx + b, where m is the slope and b is the y-intercept. The calculator will plot the line on a coordinate plane.

For example, if you enter y = 2x + 3, the calculator will graph a line with a slope of 2 and a y-intercept at (0, 3).

Note: This calculator currently supports only linear equations in the slope-intercept form (y = mx + b).

Formula used

The calculator uses the standard slope-intercept form of a linear equation:

y = mx + b

y = dependent variable (output)
m = slope of the line
x = independent variable (input)
b = y-intercept (value of y when x = 0)

To graph the line, the calculator calculates points along the line for x values between -10 and 10, then plots these points on a coordinate plane.

Worked example

Let's graph the line y = -3x + 5:

Enter -3 in the slope field
Enter 5 in the y-intercept field
Click "Graph Line"

The calculator will display a graph showing the line passing through the point (0, 5) with a slope of -3. The line will extend from (-10, 35) to (10, -25).

FAQ

What types of lines can this calculator graph?

This calculator can graph any linear equation in the slope-intercept form (y = mx + b). It currently does not support other forms like point-slope or standard form.

How do I interpret the slope of a line?

The slope (m) represents how steep the line is and its direction. A positive slope means the line rises as x increases, while a negative slope means it falls as x increases. The absolute value of the slope indicates the rate of change.

What is the y-intercept?

The y-intercept (b) is the point where the line crosses the y-axis. It's the value of y when x equals 0. On the graph, this is where the line starts or ends if extended.