Lines and the Coordinate Plane: Graphing the Equation of a Line

think icon Think & Click: Slope-Intercept vs. Point-Slope Form

 

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

Write the equation of the line through (2, -1) with a slope of 4 in point-slope form.
 
y + 1 = 4(x - 2)
 
Write the equation y minus 6 equals two-thirds times the quantity x minus 9 in slope-intercept form.
 
y minus 6 equals two-thirds x minus 6, y equals two-thirds x plus 0, y equals two-thirds x
 
Write the equation of the line through (2, -4) and (1, 2) in point-slope form.
 
m equals 2 minus negative 4 divided by 1 minus 2 equals 6 divided by negative 1 equals negative 6, y minus 2 equals negative 6 times the quantity x minus 1