What does slope mean?

Slope is the change in y for every 1-unit increase in x. A positive slope rises; a negative slope falls.

What is the y-intercept?

The y-intercept is the value of y when x = 0. In y = mx + b, it is b.

How is the x-intercept found?

Set y = 0 and solve 0 = mx + b, so x = -b/m when m is not zero.

MATMathematics

Linear Equation Grapher

Graph a straight line from slope and y-intercept. See y = mx + b, the x-intercept, y-intercept, and the line on a coordinate grid.

Slope m

Y-intercept b

Try an example

Equation

y = 2x + 3

y = 2x + 3; it crosses the y-axis at 3 and the x-axis at -1.5.

Slope

Y-intercept

Your line

y = 2x + 3

Line: y = 2x + 3
x-intercept: -1.5

Liney-intercept: 3x-intercept: -1.5

How It Works

Formula

y = m\,x + b

x_{\text{intercept}} = -\frac{b}{m}\quad(m \ne 0)

Where

$m$: Slope of the line
$b$: Y-intercept

A line in slope-intercept form is y = mx + b. The slope m controls steepness, and b is the y-intercept. The x-intercept is found by setting y to zero.

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