Using Slopes and Intercepts

The x-intercept of the line is the value of x where the line crosses the x-axis (where y = 0). Put y = 0 in the equation; the value of x is the x-intercept

The y-intercept of the line is the value of y where the line crosses the y-axis (where x = 0). Put x = 0 in the equation; the value of y is the y-intercept

We can graph a linear equation easily by finding the x-intercept and the y-intercept

The x-intercept of the line is the value of x where the line crosses the x-axis (where y = 0)

The y-intercept of the line is the value of y where the line crosses the y-axis (where x = 0)

The slope-intercept form of a linear equation is y = mx + b

Given an equation, use inverse operations to isolate y, and bring the equation to the form y = mx + b

The coefficient of x is the slope (m) and the constant term (b) is the y-intercept

In an equation written in slope-intercept form (y = mx + b) m is the slope and b is the y-intercept

To write the equation for a line, find m and b. To find m, use the given points m = (y₂ - y₁)/(x₂ - x₁)

To find b, substitute the values of x and y from any point into the equation and substitute for m

Substitute the values of m and b into ‘y = mx + b’ to form the required equation