Slope+and+y-Intercept+Form

= Linear Relations: Slope and y-Intercept Form =

You can show the equation of a line through this if you know the slope and the point where the line crosses the y-axis. You can show this equation as:

y = mx + b
The slope of the line is //**m**//. The line crosses the y-axis at **//b//**. The point where the line crosses the y-axis is called the y-intercept. The x, y coordinates for the y-intercept are (0, //**b**//).

You can substitute the known values into point-slope form then write the equation in the correct format. For example:

QUESTION: Write an equation of the line through (0,3) with slope -2. y - y 1 = m (x - x 1 ) y - ( -3) = - 2 (x - 0 ) y + 3 = -2x y = -2x - 3

An equation of the line through (0, -3) with slope -2 is y = -2x - 3.