How Do You Write an Equation of a Line in Slope-Intercept Form If You Have Two Points?

'm' represents the slope
4 is y₂ and 2 is y₁
3 is x₂ and 2 is x₁
Use the slope-intercept form of a line and the values we know to solve for 'b', which is the y-intercept
We can plug in 2 for m, and either point can be used for x and y
-2 is equal to b, our y-intercept
Plug the values for slope and y-intercept into the slope-intercept form to find the equation of our line

1. The slope of a line is what it sounds like, how high a line goes for how far it goes left or right
2. A slope is 'rise' over 'run'
1. Slope-intercept form is y=mx+b
1. 'm' represents slope
1. We are labeling them so we will know where to put them in the formula for slope
1. The y-intercept is the point where a line crosses the y-axis
1. y=mx+b
1. y = m • x + b is the slope-intercept form of a line
1. y = m • x + b is the slope-intercept form of a line, where 'b' is the y-intercept and 'm' is the slope of the line
1. Either ordered pair could be plugged into the equation of our line, we just happened to pick (3,4)
1. We just need to get 'b' by itself and on one side of the equation
1. 2 • 3 = 6
1. The left hand side is just 4 - 6 = -2
1. The y-intercept is -2
1. The slope and the y-intercept are the two things we need to write out the slope-intercept form of our line!
1. Plug 2 in for 'm' and plug -2 in for 'b'
1. Plug 2 in for our slope, 'm', and plug -2 in for our y-intercept, 'b'
1. y=mx+b is the slope-intercept form of a line

Write an equation in slope-intercept form of the line that passes through the points (2,2) and (3,4).