4.5 Equations of Lines

Objective A – To find the equation of a line given a point and the slope

The equation of a line can be written in the form y = mx + b, when a point on the line and the slope of the line are given.
If given a point, (x_1,y_1) and the slope, m, then the equation can be written in Point-Slope Form: y - y_1 = m(x - x_1) then rewrite into the slope-intercept form y = mx + b by solving for y

Objective B – To find the equation of a line given two points

If given two points on the line, first find the slope between the two points. Then use the same method for a given point and slope.

Here is a worksheet to practice using the point-slope form of the equation of a line.